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Finding the Fourth Proportional to 49,181.52, 67,870.54 and 27,960.88

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Solution

The fourth proportional to 49,181.52, 67,870.54 and 27,960.88 is: 38,586.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,181.52 : 67,870.54 = 27,960.88 : x
  2. Step 2: Convert to fraction form
    49,181.52/67,870.54 = 27,960.88/x
  3. Step 3: Cross multiply
    49,181.52x = 67,870.54 × 27,960.88
  4. Step 4: Simplify right side
    49,181.52x = 1,897,720,024.48
  5. Step 5: Solve for x
    x = 1,897,720,024.48/49,181.52
  6. Step 6: Final answer
    x = 38,586.04

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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.