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Finding the Fourth Proportional to 83,893.20, 125,839.16 and 39,495.76

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Solution

The fourth proportional to 83,893.20, 125,839.16 and 39,495.76 is: 59,243.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,893.20 : 125,839.16 = 39,495.76 : x
  2. Step 2: Convert to fraction form
    83,893.20/125,839.16 = 39,495.76/x
  3. Step 3: Cross multiply
    83,893.20x = 125,839.16 × 39,495.76
  4. Step 4: Simplify right side
    83,893.20x = 4,970,113,261.96
  5. Step 5: Solve for x
    x = 4,970,113,261.96/83,893.20
  6. Step 6: Final answer
    x = 59,243.34

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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.