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Finding the Fourth Proportional to 51,949.02, 71,689.68 and 29,593.02

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Solution

The fourth proportional to 51,949.02, 71,689.68 and 29,593.02 is: 40,838.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,949.02 : 71,689.68 = 29,593.02 : x
  2. Step 2: Convert to fraction form
    51,949.02/71,689.68 = 29,593.02/x
  3. Step 3: Cross multiply
    51,949.02x = 71,689.68 × 29,593.02
  4. Step 4: Simplify right side
    51,949.02x = 2,121,514,134.03
  5. Step 5: Solve for x
    x = 2,121,514,134.03/51,949.02
  6. Step 6: Final answer
    x = 40,838.39

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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.