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Finding the Fourth Proportional to 51,882.52, 77,762.76 and 29,711.20

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Solution

The fourth proportional to 51,882.52, 77,762.76 and 29,711.20 is: 44,531.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,882.52 : 77,762.76 = 29,711.20 : x
  2. Step 2: Convert to fraction form
    51,882.52/77,762.76 = 29,711.20/x
  3. Step 3: Cross multiply
    51,882.52x = 77,762.76 × 29,711.20
  4. Step 4: Simplify right side
    51,882.52x = 2,310,424,914.91
  5. Step 5: Solve for x
    x = 2,310,424,914.91/51,882.52
  6. Step 6: Final answer
    x = 44,531.86

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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.