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Finding the Fourth Proportional to 71,224.68, 98,193.87 and 45,686.71

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Solution

The fourth proportional to 71,224.68, 98,193.87 and 45,686.71 is: 62,985.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,224.68 : 98,193.87 = 45,686.71 : x
  2. Step 2: Convert to fraction form
    71,224.68/98,193.87 = 45,686.71/x
  3. Step 3: Cross multiply
    71,224.68x = 98,193.87 × 45,686.71
  4. Step 4: Simplify right side
    71,224.68x = 4,486,154,862.47
  5. Step 5: Solve for x
    x = 4,486,154,862.47/71,224.68
  6. Step 6: Final answer
    x = 62,985.96

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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.