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Finding the Fourth Proportional to 97,099.62, 145,614.19 and 33,902

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Solution

The fourth proportional to 97,099.62, 145,614.19 and 33,902 is: 50,840.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,099.62 : 145,614.19 = 33,902 : x
  2. Step 2: Convert to fraction form
    97,099.62/145,614.19 = 33,902/x
  3. Step 3: Cross multiply
    97,099.62x = 145,614.19 × 33,902
  4. Step 4: Simplify right side
    97,099.62x = 4,936,612,269.38
  5. Step 5: Solve for x
    x = 4,936,612,269.38/97,099.62
  6. Step 6: Final answer
    x = 50,840.70

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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.