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Finding the Fourth Proportional to 83,683.70, 125,487.24 and 49,965.02

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Solution

The fourth proportional to 83,683.70, 125,487.24 and 49,965.02 is: 74,924.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,683.70 : 125,487.24 = 49,965.02 : x
  2. Step 2: Convert to fraction form
    83,683.70/125,487.24 = 49,965.02/x
  3. Step 3: Cross multiply
    83,683.70x = 125,487.24 × 49,965.02
  4. Step 4: Simplify right side
    83,683.70x = 6,269,972,456.34
  5. Step 5: Solve for x
    x = 6,269,972,456.34/83,683.70
  6. Step 6: Final answer
    x = 74,924.66

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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.