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Finding the Fourth Proportional to 83,171.61, 124,758.41 and 23,196.44

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Solution

The fourth proportional to 83,171.61, 124,758.41 and 23,196.44 is: 34,794.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,171.61 : 124,758.41 = 23,196.44 : x
  2. Step 2: Convert to fraction form
    83,171.61/124,758.41 = 23,196.44/x
  3. Step 3: Cross multiply
    83,171.61x = 124,758.41 × 23,196.44
  4. Step 4: Simplify right side
    83,171.61x = 2,893,950,544.18
  5. Step 5: Solve for x
    x = 2,893,950,544.18/83,171.61
  6. Step 6: Final answer
    x = 34,794.93

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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.