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Finding the Fourth Proportional to 83,732.76, 115,553.25 and 47,934.30

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Solution

The fourth proportional to 83,732.76, 115,553.25 and 47,934.30 is: 66,150.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,732.76 : 115,553.25 = 47,934.30 : x
  2. Step 2: Convert to fraction form
    83,732.76/115,553.25 = 47,934.30/x
  3. Step 3: Cross multiply
    83,732.76x = 115,553.25 × 47,934.30
  4. Step 4: Simplify right side
    83,732.76x = 5,538,964,151.48
  5. Step 5: Solve for x
    x = 5,538,964,151.48/83,732.76
  6. Step 6: Final answer
    x = 66,150.50

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1.5x scale

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.