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Finding the Fourth Proportional to 38,396.80, 57,585.75 and 16,198.75

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Solution

The fourth proportional to 38,396.80, 57,585.75 and 16,198.75 is: 24,294.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,396.80 : 57,585.75 = 16,198.75 : x
  2. Step 2: Convert to fraction form
    38,396.80/57,585.75 = 16,198.75/x
  3. Step 3: Cross multiply
    38,396.80x = 57,585.75 × 16,198.75
  4. Step 4: Simplify right side
    38,396.80x = 932,817,167.81
  5. Step 5: Solve for x
    x = 932,817,167.81/38,396.80
  6. Step 6: Final answer
    x = 24,294.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.