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Finding the Fourth Proportional to 52,129.28, 71,948.04 and 29,773.28

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Solution

The fourth proportional to 52,129.28, 71,948.04 and 29,773.28 is: 41,092.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,129.28 : 71,948.04 = 29,773.28 : x
  2. Step 2: Convert to fraction form
    52,129.28/71,948.04 = 29,773.28/x
  3. Step 3: Cross multiply
    52,129.28x = 71,948.04 × 29,773.28
  4. Step 4: Simplify right side
    52,129.28x = 2,142,129,140.37
  5. Step 5: Solve for x
    x = 2,142,129,140.37/52,129.28
  6. Step 6: Final answer
    x = 41,092.63

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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.