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Finding the Fourth Proportional to 49,182.88, 67,872.72 and 27,960.88

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Solution

The fourth proportional to 49,182.88, 67,872.72 and 27,960.88 is: 38,586.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,182.88 : 67,872.72 = 27,960.88 : x
  2. Step 2: Convert to fraction form
    49,182.88/67,872.72 = 27,960.88/x
  3. Step 3: Cross multiply
    49,182.88x = 67,872.72 × 27,960.88
  4. Step 4: Simplify right side
    49,182.88x = 1,897,780,979.19
  5. Step 5: Solve for x
    x = 1,897,780,979.19/49,182.88
  6. Step 6: Final answer
    x = 38,586.21

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1.5x scale

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.