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Finding the Fourth Proportional to 31,710.80, 43,721.20 and 20,360.32

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Solution

The fourth proportional to 31,710.80, 43,721.20 and 20,360.32 is: 28,071.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,710.80 : 43,721.20 = 20,360.32 : x
  2. Step 2: Convert to fraction form
    31,710.80/43,721.20 = 20,360.32/x
  3. Step 3: Cross multiply
    31,710.80x = 43,721.20 × 20,360.32
  4. Step 4: Simplify right side
    31,710.80x = 890,177,622.78
  5. Step 5: Solve for x
    x = 890,177,622.78/31,710.80
  6. Step 6: Final answer
    x = 28,071.75

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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.