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Finding the Fourth Proportional to 41,382.78, 57,100.66 and 27,038.80

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Solution

The fourth proportional to 41,382.78, 57,100.66 and 27,038.80 is: 37,308.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,382.78 : 57,100.66 = 27,038.80 : x
  2. Step 2: Convert to fraction form
    41,382.78/57,100.66 = 27,038.80/x
  3. Step 3: Cross multiply
    41,382.78x = 57,100.66 × 27,038.80
  4. Step 4: Simplify right side
    41,382.78x = 1,543,933,325.61
  5. Step 5: Solve for x
    x = 1,543,933,325.61/41,382.78
  6. Step 6: Final answer
    x = 37,308.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.