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Finding the Fourth Proportional to 77,112.80, 115,611.60 and 32,703.20

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Solution

The fourth proportional to 77,112.80, 115,611.60 and 32,703.20 is: 49,030.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,112.80 : 115,611.60 = 32,703.20 : x
  2. Step 2: Convert to fraction form
    77,112.80/115,611.60 = 32,703.20/x
  3. Step 3: Cross multiply
    77,112.80x = 115,611.60 × 32,703.20
  4. Step 4: Simplify right side
    77,112.80x = 3,780,869,277.12
  5. Step 5: Solve for x
    x = 3,780,869,277.12/77,112.80
  6. Step 6: Final answer
    x = 49,030.37

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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.