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Finding the Fourth Proportional to 74,807.75, 112,179.75 and 24,874.49

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Solution

The fourth proportional to 74,807.75, 112,179.75 and 24,874.49 is: 37,301.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,807.75 : 112,179.75 = 24,874.49 : x
  2. Step 2: Convert to fraction form
    74,807.75/112,179.75 = 24,874.49/x
  3. Step 3: Cross multiply
    74,807.75x = 112,179.75 × 24,874.49
  4. Step 4: Simplify right side
    74,807.75x = 2,790,413,508.68
  5. Step 5: Solve for x
    x = 2,790,413,508.68/74,807.75
  6. Step 6: Final answer
    x = 37,301.13

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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.