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Finding the Fourth Proportional to 38,509.60, 57,649.20 and 36,231.20

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Solution

The fourth proportional to 38,509.60, 57,649.20 and 36,231.20 is: 54,238.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,509.60 : 57,649.20 = 36,231.20 : x
  2. Step 2: Convert to fraction form
    38,509.60/57,649.20 = 36,231.20/x
  3. Step 3: Cross multiply
    38,509.60x = 57,649.20 × 36,231.20
  4. Step 4: Simplify right side
    38,509.60x = 2,088,699,695.04
  5. Step 5: Solve for x
    x = 2,088,699,695.04/38,509.60
  6. Step 6: Final answer
    x = 54,238.42

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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.