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Finding the Fourth Proportional to 83,880.97, 125,825.40 and 24,717.15

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Solution

The fourth proportional to 83,880.97, 125,825.40 and 24,717.15 is: 37,076.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,880.97 : 125,825.40 = 24,717.15 : x
  2. Step 2: Convert to fraction form
    83,880.97/125,825.40 = 24,717.15/x
  3. Step 3: Cross multiply
    83,880.97x = 125,825.40 × 24,717.15
  4. Step 4: Simplify right side
    83,880.97x = 3,110,045,285.61
  5. Step 5: Solve for x
    x = 3,110,045,285.61/83,880.97
  6. Step 6: Final answer
    x = 37,076.89

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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.