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Finding the Fourth Proportional to 110,507.14, 165,737.22 and 31,600.18

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Solution

The fourth proportional to 110,507.14, 165,737.22 and 31,600.18 is: 47,393.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,507.14 : 165,737.22 = 31,600.18 : x
  2. Step 2: Convert to fraction form
    110,507.14/165,737.22 = 31,600.18/x
  3. Step 3: Cross multiply
    110,507.14x = 165,737.22 × 31,600.18
  4. Step 4: Simplify right side
    110,507.14x = 5,237,325,984.70
  5. Step 5: Solve for x
    x = 5,237,325,984.70/110,507.14
  6. Step 6: Final answer
    x = 47,393.55

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1.5x scale

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.