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Finding the Fourth Proportional to 99,543.92, 149,182.90 and 36,304.66

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Solution

The fourth proportional to 99,543.92, 149,182.90 and 36,304.66 is: 54,408.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,543.92 : 149,182.90 = 36,304.66 : x
  2. Step 2: Convert to fraction form
    99,543.92/149,182.90 = 36,304.66/x
  3. Step 3: Cross multiply
    99,543.92x = 149,182.90 × 36,304.66
  4. Step 4: Simplify right side
    99,543.92x = 5,416,033,872.04
  5. Step 5: Solve for x
    x = 5,416,033,872.04/99,543.92
  6. Step 6: Final answer
    x = 54,408.48

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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.