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Finding the Fourth Proportional to 38,219.20, 57,328.80 and 29,471.20

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Solution

The fourth proportional to 38,219.20, 57,328.80 and 29,471.20 is: 44,206.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,219.20 : 57,328.80 = 29,471.20 : x
  2. Step 2: Convert to fraction form
    38,219.20/57,328.80 = 29,471.20/x
  3. Step 3: Cross multiply
    38,219.20x = 57,328.80 × 29,471.20
  4. Step 4: Simplify right side
    38,219.20x = 1,689,548,530.56
  5. Step 5: Solve for x
    x = 1,689,548,530.56/38,219.20
  6. Step 6: Final answer
    x = 44,206.80

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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.