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Finding the Fourth Proportional to 41,772.52, 57,649.14 and 23,867.14

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Solution

The fourth proportional to 41,772.52, 57,649.14 and 23,867.14 is: 32,938.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,772.52 : 57,649.14 = 23,867.14 : x
  2. Step 2: Convert to fraction form
    41,772.52/57,649.14 = 23,867.14/x
  3. Step 3: Cross multiply
    41,772.52x = 57,649.14 × 23,867.14
  4. Step 4: Simplify right side
    41,772.52x = 1,375,920,095.26
  5. Step 5: Solve for x
    x = 1,375,920,095.26/41,772.52
  6. Step 6: Final answer
    x = 32,938.40

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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.