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Finding the Fourth Proportional to 64,654.89, 89,223.17 and 36,360.78

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Solution

The fourth proportional to 64,654.89, 89,223.17 and 36,360.78 is: 50,177.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,654.89 : 89,223.17 = 36,360.78 : x
  2. Step 2: Convert to fraction form
    64,654.89/89,223.17 = 36,360.78/x
  3. Step 3: Cross multiply
    64,654.89x = 89,223.17 × 36,360.78
  4. Step 4: Simplify right side
    64,654.89x = 3,244,223,873.47
  5. Step 5: Solve for x
    x = 3,244,223,873.47/64,654.89
  6. Step 6: Final answer
    x = 50,177.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.