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Finding the Fourth Proportional to 52,957.56, 73,082.76 and 29,086.47

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Solution

The fourth proportional to 52,957.56, 73,082.76 and 29,086.47 is: 40,140.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,957.56 : 73,082.76 = 29,086.47 : x
  2. Step 2: Convert to fraction form
    52,957.56/73,082.76 = 29,086.47/x
  3. Step 3: Cross multiply
    52,957.56x = 73,082.76 × 29,086.47
  4. Step 4: Simplify right side
    52,957.56x = 2,125,719,506.26
  5. Step 5: Solve for x
    x = 2,125,719,506.26/52,957.56
  6. Step 6: Final answer
    x = 40,140.06

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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.