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Finding the Fourth Proportional to 71,877.97, 107,796.19 and 24,492

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Solution

The fourth proportional to 71,877.97, 107,796.19 and 24,492 is: 36,730.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,877.97 : 107,796.19 = 24,492 : x
  2. Step 2: Convert to fraction form
    71,877.97/107,796.19 = 24,492/x
  3. Step 3: Cross multiply
    71,877.97x = 107,796.19 × 24,492
  4. Step 4: Simplify right side
    71,877.97x = 2,640,144,285.48
  5. Step 5: Solve for x
    x = 2,640,144,285.48/71,877.97
  6. Step 6: Final answer
    x = 36,730.92

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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.