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Finding the Fourth Proportional to 99,572.64, 149,358.96 and 29,446.49

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Solution

The fourth proportional to 99,572.64, 149,358.96 and 29,446.49 is: 44,169.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,572.64 : 149,358.96 = 29,446.49 : x
  2. Step 2: Convert to fraction form
    99,572.64/149,358.96 = 29,446.49/x
  3. Step 3: Cross multiply
    99,572.64x = 149,358.96 × 29,446.49
  4. Step 4: Simplify right side
    99,572.64x = 4,398,096,375.26
  5. Step 5: Solve for x
    x = 4,398,096,375.26/99,572.64
  6. Step 6: Final answer
    x = 44,169.73

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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.