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Finding the Fourth Proportional to 31,986.38, 44,141.07 and 17,647.10

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Solution

The fourth proportional to 31,986.38, 44,141.07 and 17,647.10 is: 24,352.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,986.38 : 44,141.07 = 17,647.10 : x
  2. Step 2: Convert to fraction form
    31,986.38/44,141.07 = 17,647.10/x
  3. Step 3: Cross multiply
    31,986.38x = 44,141.07 × 17,647.10
  4. Step 4: Simplify right side
    31,986.38x = 778,961,876.40
  5. Step 5: Solve for x
    x = 778,961,876.40/31,986.38
  6. Step 6: Final answer
    x = 24,352.92

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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.