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Finding the Fourth Proportional to 71,572.68, 98,773.14 and 41,357

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Solution

The fourth proportional to 71,572.68, 98,773.14 and 41,357 is: 57,074.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,572.68 : 98,773.14 = 41,357 : x
  2. Step 2: Convert to fraction form
    71,572.68/98,773.14 = 41,357/x
  3. Step 3: Cross multiply
    71,572.68x = 98,773.14 × 41,357
  4. Step 4: Simplify right side
    71,572.68x = 4,084,960,750.98
  5. Step 5: Solve for x
    x = 4,084,960,750.98/71,572.68
  6. Step 6: Final answer
    x = 57,074.30

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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.