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Finding the Fourth Proportional to 74,872.92, 112,301.69 and 24,947.63

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Solution

The fourth proportional to 74,872.92, 112,301.69 and 24,947.63 is: 37,418.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,872.92 : 112,301.69 = 24,947.63 : x
  2. Step 2: Convert to fraction form
    74,872.92/112,301.69 = 24,947.63/x
  3. Step 3: Cross multiply
    74,872.92x = 112,301.69 × 24,947.63
  4. Step 4: Simplify right side
    74,872.92x = 2,801,660,324.25
  5. Step 5: Solve for x
    x = 2,801,660,324.25/74,872.92
  6. Step 6: Final answer
    x = 37,418.87

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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.