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Finding the Fourth Proportional to 51,537.38, 71,105.42 and 28,873.30

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Solution

The fourth proportional to 51,537.38, 71,105.42 and 28,873.30 is: 39,836.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,537.38 : 71,105.42 = 28,873.30 : x
  2. Step 2: Convert to fraction form
    51,537.38/71,105.42 = 28,873.30/x
  3. Step 3: Cross multiply
    51,537.38x = 71,105.42 × 28,873.30
  4. Step 4: Simplify right side
    51,537.38x = 2,053,048,123.29
  5. Step 5: Solve for x
    x = 2,053,048,123.29/51,537.38
  6. Step 6: Final answer
    x = 39,836.10

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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.