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Finding the Fourth Proportional to 49,101, 67,759.52 and 27,883.59

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Solution

The fourth proportional to 49,101, 67,759.52 and 27,883.59 is: 38,479.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,101 : 67,759.52 = 27,883.59 : x
  2. Step 2: Convert to fraction form
    49,101/67,759.52 = 27,883.59/x
  3. Step 3: Cross multiply
    49,101x = 67,759.52 × 27,883.59
  4. Step 4: Simplify right side
    49,101x = 1,889,378,534.86
  5. Step 5: Solve for x
    x = 1,889,378,534.86/49,101
  6. Step 6: Final answer
    x = 38,479.43

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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.