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Finding the Fourth Proportional to 86,043.52, 129,045.82 and 32,716.47

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Solution

The fourth proportional to 86,043.52, 129,045.82 and 32,716.47 is: 49,067.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,043.52 : 129,045.82 = 32,716.47 : x
  2. Step 2: Convert to fraction form
    86,043.52/129,045.82 = 32,716.47/x
  3. Step 3: Cross multiply
    86,043.52x = 129,045.82 × 32,716.47
  4. Step 4: Simplify right side
    86,043.52x = 4,221,923,698.66
  5. Step 5: Solve for x
    x = 4,221,923,698.66/86,043.52
  6. Step 6: Final answer
    x = 49,067.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.