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Finding the Fourth Proportional to 31,626.08, 43,643.92 and 20,448

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Solution

The fourth proportional to 31,626.08, 43,643.92 and 20,448 is: 28,218.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,626.08 : 43,643.92 = 20,448 : x
  2. Step 2: Convert to fraction form
    31,626.08/43,643.92 = 20,448/x
  3. Step 3: Cross multiply
    31,626.08x = 43,643.92 × 20,448
  4. Step 4: Simplify right side
    31,626.08x = 892,430,876.16
  5. Step 5: Solve for x
    x = 892,430,876.16/31,626.08
  6. Step 6: Final answer
    x = 28,218.19

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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.