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Finding the Fourth Proportional to 38,141.20, 57,211.80 and 35,549.20

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Solution

The fourth proportional to 38,141.20, 57,211.80 and 35,549.20 is: 53,323.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,141.20 : 57,211.80 = 35,549.20 : x
  2. Step 2: Convert to fraction form
    38,141.20/57,211.80 = 35,549.20/x
  3. Step 3: Cross multiply
    38,141.20x = 57,211.80 × 35,549.20
  4. Step 4: Simplify right side
    38,141.20x = 2,033,833,720.56
  5. Step 5: Solve for x
    x = 2,033,833,720.56/38,141.20
  6. Step 6: Final answer
    x = 53,323.80

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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.