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Finding the Fourth Proportional to 51,789.92, 71,468.53 and 29,130.17

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Solution

The fourth proportional to 51,789.92, 71,468.53 and 29,130.17 is: 40,198.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,789.92 : 71,468.53 = 29,130.17 : x
  2. Step 2: Convert to fraction form
    51,789.92/71,468.53 = 29,130.17/x
  3. Step 3: Cross multiply
    51,789.92x = 71,468.53 × 29,130.17
  4. Step 4: Simplify right side
    51,789.92x = 2,081,889,998.38
  5. Step 5: Solve for x
    x = 2,081,889,998.38/51,789.92
  6. Step 6: Final answer
    x = 40,198.75

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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.