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Finding the Fourth Proportional to 49,818.74, 68,744.28 and 29,672.78

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Solution

The fourth proportional to 49,818.74, 68,744.28 and 29,672.78 is: 40,945.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,818.74 : 68,744.28 = 29,672.78 : x
  2. Step 2: Convert to fraction form
    49,818.74/68,744.28 = 29,672.78/x
  3. Step 3: Cross multiply
    49,818.74x = 68,744.28 × 29,672.78
  4. Step 4: Simplify right side
    49,818.74x = 2,039,833,896.70
  5. Step 5: Solve for x
    x = 2,039,833,896.70/49,818.74
  6. Step 6: Final answer
    x = 40,945.11

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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.