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Finding the Fourth Proportional to 38,417.75, 57,649.31 and 16,229.69

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Solution

The fourth proportional to 38,417.75, 57,649.31 and 16,229.69 is: 24,354.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,417.75 : 57,649.31 = 16,229.69 : x
  2. Step 2: Convert to fraction form
    38,417.75/57,649.31 = 16,229.69/x
  3. Step 3: Cross multiply
    38,417.75x = 57,649.31 × 16,229.69
  4. Step 4: Simplify right side
    38,417.75x = 935,630,430.01
  5. Step 5: Solve for x
    x = 935,630,430.01/38,417.75
  6. Step 6: Final answer
    x = 24,354.12

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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.