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Finding the Fourth Proportional to 76,658.27, 115,005.87 and 24,067.71

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Solution

The fourth proportional to 76,658.27, 115,005.87 and 24,067.71 is: 36,107.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,658.27 : 115,005.87 = 24,067.71 : x
  2. Step 2: Convert to fraction form
    76,658.27/115,005.87 = 24,067.71/x
  3. Step 3: Cross multiply
    76,658.27x = 115,005.87 × 24,067.71
  4. Step 4: Simplify right side
    76,658.27x = 2,767,927,927.46
  5. Step 5: Solve for x
    x = 2,767,927,927.46/76,658.27
  6. Step 6: Final answer
    x = 36,107.36

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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.