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Finding the Fourth Proportional to 103,175.38, 154,743.38 and 32,098.90

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Solution

The fourth proportional to 103,175.38, 154,743.38 and 32,098.90 is: 48,142.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,175.38 : 154,743.38 = 32,098.90 : x
  2. Step 2: Convert to fraction form
    103,175.38/154,743.38 = 32,098.90/x
  3. Step 3: Cross multiply
    103,175.38x = 154,743.38 × 32,098.90
  4. Step 4: Simplify right side
    103,175.38x = 4,967,092,280.28
  5. Step 5: Solve for x
    x = 4,967,092,280.28/103,175.38
  6. Step 6: Final answer
    x = 48,142.22

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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.