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Finding the Fourth Proportional to 49,654.60, 74,384.70 and 29,874.40

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Solution

The fourth proportional to 49,654.60, 74,384.70 and 29,874.40 is: 44,753.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,654.60 : 74,384.70 = 29,874.40 : x
  2. Step 2: Convert to fraction form
    49,654.60/74,384.70 = 29,874.40/x
  3. Step 3: Cross multiply
    49,654.60x = 74,384.70 × 29,874.40
  4. Step 4: Simplify right side
    49,654.60x = 2,222,198,281.68
  5. Step 5: Solve for x
    x = 2,222,198,281.68/49,654.60
  6. Step 6: Final answer
    x = 44,753.12

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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.