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Finding the Fourth Proportional to 41,667.72, 57,483.18 and 24,891

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Solution

The fourth proportional to 41,667.72, 57,483.18 and 24,891 is: 34,338.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,667.72 : 57,483.18 = 24,891 : x
  2. Step 2: Convert to fraction form
    41,667.72/57,483.18 = 24,891/x
  3. Step 3: Cross multiply
    41,667.72x = 57,483.18 × 24,891
  4. Step 4: Simplify right side
    41,667.72x = 1,430,813,833.38
  5. Step 5: Solve for x
    x = 1,430,813,833.38/41,667.72
  6. Step 6: Final answer
    x = 34,338.66

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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.