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Finding the Fourth Proportional to 41,424.38, 57,146.10 and 28,000.32

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Solution

The fourth proportional to 41,424.38, 57,146.10 and 28,000.32 is: 38,627.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,424.38 : 57,146.10 = 28,000.32 : x
  2. Step 2: Convert to fraction form
    41,424.38/57,146.10 = 28,000.32/x
  3. Step 3: Cross multiply
    41,424.38x = 57,146.10 × 28,000.32
  4. Step 4: Simplify right side
    41,424.38x = 1,600,109,086.75
  5. Step 5: Solve for x
    x = 1,600,109,086.75/41,424.38
  6. Step 6: Final answer
    x = 38,627.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.