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Finding the Fourth Proportional to 112,978,465.80, 169,467,698.70 and 32,188,936.20

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Solution

The fourth proportional to 112,978,465.80, 169,467,698.70 and 32,188,936.20 is: 48,283,404.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,978,465.80 : 169,467,698.70 = 32,188,936.20 : x
  2. Step 2: Convert to fraction form
    112,978,465.80/169,467,698.70 = 32,188,936.20/x
  3. Step 3: Cross multiply
    112,978,465.80x = 169,467,698.70 × 32,188,936.20
  4. Step 4: Simplify right side
    112,978,465.80x = 5,454,984,941,415,122
  5. Step 5: Solve for x
    x = 5,454,984,941,415,122/112,978,465.80
  6. Step 6: Final answer
    x = 48,283,404.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.