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Finding the Fourth Proportional to 41,692.38, 57,535.51 and 22,572.16

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Solution

The fourth proportional to 41,692.38, 57,535.51 and 22,572.16 is: 31,149.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,692.38 : 57,535.51 = 22,572.16 : x
  2. Step 2: Convert to fraction form
    41,692.38/57,535.51 = 22,572.16/x
  3. Step 3: Cross multiply
    41,692.38x = 57,535.51 × 22,572.16
  4. Step 4: Simplify right side
    41,692.38x = 1,298,700,386.93
  5. Step 5: Solve for x
    x = 1,298,700,386.93/41,692.38
  6. Step 6: Final answer
    x = 31,149.58

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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.