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Finding the Fourth Proportional to 82,532.60, 123,841.11 and 39,304.45

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Solution

The fourth proportional to 82,532.60, 123,841.11 and 39,304.45 is: 58,976.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,532.60 : 123,841.11 = 39,304.45 : x
  2. Step 2: Convert to fraction form
    82,532.60/123,841.11 = 39,304.45/x
  3. Step 3: Cross multiply
    82,532.60x = 123,841.11 × 39,304.45
  4. Step 4: Simplify right side
    82,532.60x = 4,867,506,096.73
  5. Step 5: Solve for x
    x = 4,867,506,096.73/82,532.60
  6. Step 6: Final answer
    x = 58,976.77

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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.