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Finding the Fourth Proportional to 41,201.22, 61,787.25 and 25,414.74

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Solution

The fourth proportional to 41,201.22, 61,787.25 and 25,414.74 is: 38,113.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,201.22 : 61,787.25 = 25,414.74 : x
  2. Step 2: Convert to fraction form
    41,201.22/61,787.25 = 25,414.74/x
  3. Step 3: Cross multiply
    41,201.22x = 61,787.25 × 25,414.74
  4. Step 4: Simplify right side
    41,201.22x = 1,570,306,894.07
  5. Step 5: Solve for x
    x = 1,570,306,894.07/41,201.22
  6. Step 6: Final answer
    x = 38,113.12

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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.