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Finding the Fourth Proportional to 71,781.97, 107,682.81 and 24,384.34

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Solution

The fourth proportional to 71,781.97, 107,682.81 and 24,384.34 is: 36,579.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,781.97 : 107,682.81 = 24,384.34 : x
  2. Step 2: Convert to fraction form
    71,781.97/107,682.81 = 24,384.34/x
  3. Step 3: Cross multiply
    71,781.97x = 107,682.81 × 24,384.34
  4. Step 4: Simplify right side
    71,781.97x = 2,625,774,509.61
  5. Step 5: Solve for x
    x = 2,625,774,509.61/71,781.97
  6. Step 6: Final answer
    x = 36,579.86

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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.