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Finding the Fourth Proportional to 38,095.57, 57,164.96 and 20,565.01

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Solution

The fourth proportional to 38,095.57, 57,164.96 and 20,565.01 is: 30,859.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,095.57 : 57,164.96 = 20,565.01 : x
  2. Step 2: Convert to fraction form
    38,095.57/57,164.96 = 20,565.01/x
  3. Step 3: Cross multiply
    38,095.57x = 57,164.96 × 20,565.01
  4. Step 4: Simplify right side
    38,095.57x = 1,175,597,974.05
  5. Step 5: Solve for x
    x = 1,175,597,974.05/38,095.57
  6. Step 6: Final answer
    x = 30,859.18

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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.