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Finding the Fourth Proportional to 38,038.40, 57,067.32 and 14,658.56

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Solution

The fourth proportional to 38,038.40, 57,067.32 and 14,658.56 is: 21,991.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,038.40 : 57,067.32 = 14,658.56 : x
  2. Step 2: Convert to fraction form
    38,038.40/57,067.32 = 14,658.56/x
  3. Step 3: Cross multiply
    38,038.40x = 57,067.32 × 14,658.56
  4. Step 4: Simplify right side
    38,038.40x = 836,524,734.26
  5. Step 5: Solve for x
    x = 836,524,734.26/38,038.40
  6. Step 6: Final answer
    x = 21,991.59

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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.