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Finding the Fourth Proportional to 106,571.52, 147,067.88 and 58,824.86

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Solution

The fourth proportional to 106,571.52, 147,067.88 and 58,824.86 is: 81,177.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,571.52 : 147,067.88 = 58,824.86 : x
  2. Step 2: Convert to fraction form
    106,571.52/147,067.88 = 58,824.86/x
  3. Step 3: Cross multiply
    106,571.52x = 147,067.88 × 58,824.86
  4. Step 4: Simplify right side
    106,571.52x = 8,651,246,422.03
  5. Step 5: Solve for x
    x = 8,651,246,422.03/106,571.52
  6. Step 6: Final answer
    x = 81,177.85

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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.