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Finding the Fourth Proportional to 31,642.46, 43,626.02 and 20,291.32

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Solution

The fourth proportional to 31,642.46, 43,626.02 and 20,291.32 is: 27,976.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,642.46 : 43,626.02 = 20,291.32 : x
  2. Step 2: Convert to fraction form
    31,642.46/43,626.02 = 20,291.32/x
  3. Step 3: Cross multiply
    31,642.46x = 43,626.02 × 20,291.32
  4. Step 4: Simplify right side
    31,642.46x = 885,229,532.15
  5. Step 5: Solve for x
    x = 885,229,532.15/31,642.46
  6. Step 6: Final answer
    x = 27,976.00

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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.