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Finding the Fourth Proportional to 31,692.38, 43,738.53 and 17,545.23

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Solution

The fourth proportional to 31,692.38, 43,738.53 and 17,545.23 is: 24,214.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,692.38 : 43,738.53 = 17,545.23 : x
  2. Step 2: Convert to fraction form
    31,692.38/43,738.53 = 17,545.23/x
  3. Step 3: Cross multiply
    31,692.38x = 43,738.53 × 17,545.23
  4. Step 4: Simplify right side
    31,692.38x = 767,402,568.71
  5. Step 5: Solve for x
    x = 767,402,568.71/31,692.38
  6. Step 6: Final answer
    x = 24,214.11

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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.