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Finding the Fourth Proportional to 41,382.82, 61,900.26 and 34,885

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Solution

The fourth proportional to 41,382.82, 61,900.26 and 34,885 is: 52,180.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,382.82 : 61,900.26 = 34,885 : x
  2. Step 2: Convert to fraction form
    41,382.82/61,900.26 = 34,885/x
  3. Step 3: Cross multiply
    41,382.82x = 61,900.26 × 34,885
  4. Step 4: Simplify right side
    41,382.82x = 2,159,390,570.10
  5. Step 5: Solve for x
    x = 2,159,390,570.10/41,382.82
  6. Step 6: Final answer
    x = 52,180.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.