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Finding the Fourth Proportional to 82,549.76, 123,873.84 and 29,963.36

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Solution

The fourth proportional to 82,549.76, 123,873.84 and 29,963.36 is: 44,962.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,549.76 : 123,873.84 = 29,963.36 : x
  2. Step 2: Convert to fraction form
    82,549.76/123,873.84 = 29,963.36/x
  3. Step 3: Cross multiply
    82,549.76x = 123,873.84 × 29,963.36
  4. Step 4: Simplify right side
    82,549.76x = 3,711,676,462.50
  5. Step 5: Solve for x
    x = 3,711,676,462.50/82,549.76
  6. Step 6: Final answer
    x = 44,962.90

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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.