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Finding the Fourth Proportional to 51,874.71, 77,687.31 and 29,620.62

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Solution

The fourth proportional to 51,874.71, 77,687.31 and 29,620.62 is: 44,359.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,874.71 : 77,687.31 = 29,620.62 : x
  2. Step 2: Convert to fraction form
    51,874.71/77,687.31 = 29,620.62/x
  3. Step 3: Cross multiply
    51,874.71x = 77,687.31 × 29,620.62
  4. Step 4: Simplify right side
    51,874.71x = 2,301,146,288.33
  5. Step 5: Solve for x
    x = 2,301,146,288.33/51,874.71
  6. Step 6: Final answer
    x = 44,359.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.