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Finding the Fourth Proportional to 83,712.75, 125,462.34 and 39,241.53

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Solution

The fourth proportional to 83,712.75, 125,462.34 and 39,241.53 is: 58,812.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,712.75 : 125,462.34 = 39,241.53 : x
  2. Step 2: Convert to fraction form
    83,712.75/125,462.34 = 39,241.53/x
  3. Step 3: Cross multiply
    83,712.75x = 125,462.34 × 39,241.53
  4. Step 4: Simplify right side
    83,712.75x = 4,923,334,178.98
  5. Step 5: Solve for x
    x = 4,923,334,178.98/83,712.75
  6. Step 6: Final answer
    x = 58,812.24

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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.