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Finding the Fourth Proportional to 71,407.92, 98,543.16 and 39,577.32

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Solution

The fourth proportional to 71,407.92, 98,543.16 and 39,577.32 is: 54,616.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,407.92 : 98,543.16 = 39,577.32 : x
  2. Step 2: Convert to fraction form
    71,407.92/98,543.16 = 39,577.32/x
  3. Step 3: Cross multiply
    71,407.92x = 98,543.16 × 39,577.32
  4. Step 4: Simplify right side
    71,407.92x = 3,900,074,177.13
  5. Step 5: Solve for x
    x = 3,900,074,177.13/71,407.92
  6. Step 6: Final answer
    x = 54,616.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.