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Finding the Fourth Proportional to 99,487.67, 149,231.52 and 32,909.93

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Solution

The fourth proportional to 99,487.67, 149,231.52 and 32,909.93 is: 49,364.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,487.67 : 149,231.52 = 32,909.93 : x
  2. Step 2: Convert to fraction form
    99,487.67/149,231.52 = 32,909.93/x
  3. Step 3: Cross multiply
    99,487.67x = 149,231.52 × 32,909.93
  4. Step 4: Simplify right side
    99,487.67x = 4,911,198,876.99
  5. Step 5: Solve for x
    x = 4,911,198,876.99/99,487.67
  6. Step 6: Final answer
    x = 49,364.90

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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.