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Finding the Fourth Proportional to 37,640.28, 51,920.70 and 24,893.40

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Solution

The fourth proportional to 37,640.28, 51,920.70 and 24,893.40 is: 34,337.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,640.28 : 51,920.70 = 24,893.40 : x
  2. Step 2: Convert to fraction form
    37,640.28/51,920.70 = 24,893.40/x
  3. Step 3: Cross multiply
    37,640.28x = 51,920.70 × 24,893.40
  4. Step 4: Simplify right side
    37,640.28x = 1,292,482,753.38
  5. Step 5: Solve for x
    x = 1,292,482,753.38/37,640.28
  6. Step 6: Final answer
    x = 34,337.76

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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.