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Finding the Fourth Proportional to 38,478.90, 57,718.80 and 13,519.68

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Solution

The fourth proportional to 38,478.90, 57,718.80 and 13,519.68 is: 20,279.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,478.90 : 57,718.80 = 13,519.68 : x
  2. Step 2: Convert to fraction form
    38,478.90/57,718.80 = 13,519.68/x
  3. Step 3: Cross multiply
    38,478.90x = 57,718.80 × 13,519.68
  4. Step 4: Simplify right side
    38,478.90x = 780,339,705.98
  5. Step 5: Solve for x
    x = 780,339,705.98/38,478.90
  6. Step 6: Final answer
    x = 20,279.68

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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.