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Finding the Fourth Proportional to 83,166.48, 124,644.60 and 36,363.60

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Solution

The fourth proportional to 83,166.48, 124,644.60 and 36,363.60 is: 54,499.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,166.48 : 124,644.60 = 36,363.60 : x
  2. Step 2: Convert to fraction form
    83,166.48/124,644.60 = 36,363.60/x
  3. Step 3: Cross multiply
    83,166.48x = 124,644.60 × 36,363.60
  4. Step 4: Simplify right side
    83,166.48x = 4,532,526,376.56
  5. Step 5: Solve for x
    x = 4,532,526,376.56/83,166.48
  6. Step 6: Final answer
    x = 54,499.44

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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.