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Finding the Fourth Proportional to 99,680.92, 149,495.91 and 29,543.86

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Solution

The fourth proportional to 99,680.92, 149,495.91 and 29,543.86 is: 44,308.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,680.92 : 149,495.91 = 29,543.86 : x
  2. Step 2: Convert to fraction form
    99,680.92/149,495.91 = 29,543.86/x
  3. Step 3: Cross multiply
    99,680.92x = 149,495.91 × 29,543.86
  4. Step 4: Simplify right side
    99,680.92x = 4,416,686,235.61
  5. Step 5: Solve for x
    x = 4,416,686,235.61/99,680.92
  6. Step 6: Final answer
    x = 44,308.24

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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.