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Finding the Fourth Proportional to 49,077.52, 67,728.84 and 27,857.68

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Solution

The fourth proportional to 49,077.52, 67,728.84 and 27,857.68 is: 38,444.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,077.52 : 67,728.84 = 27,857.68 : x
  2. Step 2: Convert to fraction form
    49,077.52/67,728.84 = 27,857.68/x
  3. Step 3: Cross multiply
    49,077.52x = 67,728.84 × 27,857.68
  4. Step 4: Simplify right side
    49,077.52x = 1,886,768,351.49
  5. Step 5: Solve for x
    x = 1,886,768,351.49/49,077.52
  6. Step 6: Final answer
    x = 38,444.66

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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.