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Finding the Fourth Proportional to 49,442, 68,232.84 and 28,227.92

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Solution

The fourth proportional to 49,442, 68,232.84 and 28,227.92 is: 38,956.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,442 : 68,232.84 = 28,227.92 : x
  2. Step 2: Convert to fraction form
    49,442/68,232.84 = 28,227.92/x
  3. Step 3: Cross multiply
    49,442x = 68,232.84 × 28,227.92
  4. Step 4: Simplify right side
    49,442x = 1,926,071,148.89
  5. Step 5: Solve for x
    x = 1,926,071,148.89/49,442
  6. Step 6: Final answer
    x = 38,956.17

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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.