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Finding the Fourth Proportional to 32,016.82, 44,178.78 and 17,866.90

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Solution

The fourth proportional to 32,016.82, 44,178.78 and 17,866.90 is: 24,653.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,016.82 : 44,178.78 = 17,866.90 : x
  2. Step 2: Convert to fraction form
    32,016.82/44,178.78 = 17,866.90/x
  3. Step 3: Cross multiply
    32,016.82x = 44,178.78 × 17,866.90
  4. Step 4: Simplify right side
    32,016.82x = 789,337,844.38
  5. Step 5: Solve for x
    x = 789,337,844.38/32,016.82
  6. Step 6: Final answer
    x = 24,653.85

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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.