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Finding the Fourth Proportional to 38,461.71, 57,692.57 and 10,759.71

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Solution

The fourth proportional to 38,461.71, 57,692.57 and 10,759.71 is: 16,139.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,461.71 : 57,692.57 = 10,759.71 : x
  2. Step 2: Convert to fraction form
    38,461.71/57,692.57 = 10,759.71/x
  3. Step 3: Cross multiply
    38,461.71x = 57,692.57 × 10,759.71
  4. Step 4: Simplify right side
    38,461.71x = 620,755,268.56
  5. Step 5: Solve for x
    x = 620,755,268.56/38,461.71
  6. Step 6: Final answer
    x = 16,139.57

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