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Finding the Fourth Proportional to 49,176.44, 67,869.22 and 27,958.88

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Solution

The fourth proportional to 49,176.44, 67,869.22 and 27,958.88 is: 38,586.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,176.44 : 67,869.22 = 27,958.88 : x
  2. Step 2: Convert to fraction form
    49,176.44/67,869.22 = 27,958.88/x
  3. Step 3: Cross multiply
    49,176.44x = 67,869.22 × 27,958.88
  4. Step 4: Simplify right side
    49,176.44x = 1,897,547,377.67
  5. Step 5: Solve for x
    x = 1,897,547,377.67/49,176.44
  6. Step 6: Final answer
    x = 38,586.51

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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.