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Finding the Fourth Proportional to 31,565.87, 43,521.51 and 20,216.71

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Solution

The fourth proportional to 31,565.87, 43,521.51 and 20,216.71 is: 27,873.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,565.87 : 43,521.51 = 20,216.71 : x
  2. Step 2: Convert to fraction form
    31,565.87/43,521.51 = 20,216.71/x
  3. Step 3: Cross multiply
    31,565.87x = 43,521.51 × 20,216.71
  4. Step 4: Simplify right side
    31,565.87x = 879,861,746.43
  5. Step 5: Solve for x
    x = 879,861,746.43/31,565.87
  6. Step 6: Final answer
    x = 27,873.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.