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Finding the Fourth Proportional to 38,504.80, 57,778.80 and 16,314.40

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Solution

The fourth proportional to 38,504.80, 57,778.80 and 16,314.40 is: 24,480.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,504.80 : 57,778.80 = 16,314.40 : x
  2. Step 2: Convert to fraction form
    38,504.80/57,778.80 = 16,314.40/x
  3. Step 3: Cross multiply
    38,504.80x = 57,778.80 × 16,314.40
  4. Step 4: Simplify right side
    38,504.80x = 942,626,454.72
  5. Step 5: Solve for x
    x = 942,626,454.72/38,504.80
  6. Step 6: Final answer
    x = 24,480.75

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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.