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Finding the Fourth Proportional to 41,407.62, 57,141.62 and 24,182.95

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Solution

The fourth proportional to 41,407.62, 57,141.62 and 24,182.95 is: 33,371.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,407.62 : 57,141.62 = 24,182.95 : x
  2. Step 2: Convert to fraction form
    41,407.62/57,141.62 = 24,182.95/x
  3. Step 3: Cross multiply
    41,407.62x = 57,141.62 × 24,182.95
  4. Step 4: Simplify right side
    41,407.62x = 1,381,852,939.38
  5. Step 5: Solve for x
    x = 1,381,852,939.38/41,407.62
  6. Step 6: Final answer
    x = 33,371.95

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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.