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Finding the Fourth Proportional to 80,644.71, 120,971.78 and 24,486.65

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Solution

The fourth proportional to 80,644.71, 120,971.78 and 24,486.65 is: 36,731.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,644.71 : 120,971.78 = 24,486.65 : x
  2. Step 2: Convert to fraction form
    80,644.71/120,971.78 = 24,486.65/x
  3. Step 3: Cross multiply
    80,644.71x = 120,971.78 × 24,486.65
  4. Step 4: Simplify right side
    80,644.71x = 2,962,194,135.38
  5. Step 5: Solve for x
    x = 2,962,194,135.38/80,644.71
  6. Step 6: Final answer
    x = 36,731.41

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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.