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Finding the Fourth Proportional to 49,490.76, 68,293.20 and 27,982.38

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Solution

The fourth proportional to 49,490.76, 68,293.20 and 27,982.38 is: 38,613.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,490.76 : 68,293.20 = 27,982.38 : x
  2. Step 2: Convert to fraction form
    49,490.76/68,293.20 = 27,982.38/x
  3. Step 3: Cross multiply
    49,490.76x = 68,293.20 × 27,982.38
  4. Step 4: Simplify right side
    49,490.76x = 1,911,006,273.82
  5. Step 5: Solve for x
    x = 1,911,006,273.82/49,490.76
  6. Step 6: Final answer
    x = 38,613.40

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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.