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Finding the Fourth Proportional to 38,318.95, 57,454.71 and 16,120.90

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Solution

The fourth proportional to 38,318.95, 57,454.71 and 16,120.90 is: 24,171.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,318.95 : 57,454.71 = 16,120.90 : x
  2. Step 2: Convert to fraction form
    38,318.95/57,454.71 = 16,120.90/x
  3. Step 3: Cross multiply
    38,318.95x = 57,454.71 × 16,120.90
  4. Step 4: Simplify right side
    38,318.95x = 926,221,634.44
  5. Step 5: Solve for x
    x = 926,221,634.44/38,318.95
  6. Step 6: Final answer
    x = 24,171.37

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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.