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Finding the Fourth Proportional to 82,177.52, 123,192.27 and 29,550

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Solution

The fourth proportional to 82,177.52, 123,192.27 and 29,550 is: 44,298.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,177.52 : 123,192.27 = 29,550 : x
  2. Step 2: Convert to fraction form
    82,177.52/123,192.27 = 29,550/x
  3. Step 3: Cross multiply
    82,177.52x = 123,192.27 × 29,550
  4. Step 4: Simplify right side
    82,177.52x = 3,640,331,578.50
  5. Step 5: Solve for x
    x = 3,640,331,578.50/82,177.52
  6. Step 6: Final answer
    x = 44,298.39

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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.