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Finding the Fourth Proportional to 99,294.26, 148,960.62 and 32,753.57

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Solution

The fourth proportional to 99,294.26, 148,960.62 and 32,753.57 is: 49,136.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,294.26 : 148,960.62 = 32,753.57 : x
  2. Step 2: Convert to fraction form
    99,294.26/148,960.62 = 32,753.57/x
  3. Step 3: Cross multiply
    99,294.26x = 148,960.62 × 32,753.57
  4. Step 4: Simplify right side
    99,294.26x = 4,878,991,349.61
  5. Step 5: Solve for x
    x = 4,878,991,349.61/99,294.26
  6. Step 6: Final answer
    x = 49,136.69

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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.