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Finding the Fourth Proportional to 49,079.52, 67,731.60 and 27,859.68

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Solution

The fourth proportional to 49,079.52, 67,731.60 and 27,859.68 is: 38,447.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,079.52 : 67,731.60 = 27,859.68 : x
  2. Step 2: Convert to fraction form
    49,079.52/67,731.60 = 27,859.68/x
  3. Step 3: Cross multiply
    49,079.52x = 67,731.60 × 27,859.68
  4. Step 4: Simplify right side
    49,079.52x = 1,886,980,701.89
  5. Step 5: Solve for x
    x = 1,886,980,701.89/49,079.52
  6. Step 6: Final answer
    x = 38,447.42

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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.