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Finding the Fourth Proportional to 83,644.56, 125,499.48 and 36,864.48

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Solution

The fourth proportional to 83,644.56, 125,499.48 and 36,864.48 is: 55,311.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,644.56 : 125,499.48 = 36,864.48 : x
  2. Step 2: Convert to fraction form
    83,644.56/125,499.48 = 36,864.48/x
  3. Step 3: Cross multiply
    83,644.56x = 125,499.48 × 36,864.48
  4. Step 4: Simplify right side
    83,644.56x = 4,626,473,070.47
  5. Step 5: Solve for x
    x = 4,626,473,070.47/83,644.56
  6. Step 6: Final answer
    x = 55,311.11

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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.