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Finding the Fourth Proportional to 71,572.86, 98,771.13 and 39,742.29

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Solution

The fourth proportional to 71,572.86, 98,771.13 and 39,742.29 is: 54,844.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,572.86 : 98,771.13 = 39,742.29 : x
  2. Step 2: Convert to fraction form
    71,572.86/98,771.13 = 39,742.29/x
  3. Step 3: Cross multiply
    71,572.86x = 98,771.13 × 39,742.29
  4. Step 4: Simplify right side
    71,572.86x = 3,925,390,892.09
  5. Step 5: Solve for x
    x = 3,925,390,892.09/71,572.86
  6. Step 6: Final answer
    x = 54,844.68

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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.