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Finding the Fourth Proportional to 31,572.88, 43,531.16 and 20,223.72

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Solution

The fourth proportional to 31,572.88, 43,531.16 and 20,223.72 is: 27,883.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,572.88 : 43,531.16 = 20,223.72 : x
  2. Step 2: Convert to fraction form
    31,572.88/43,531.16 = 20,223.72/x
  3. Step 3: Cross multiply
    31,572.88x = 43,531.16 × 20,223.72
  4. Step 4: Simplify right side
    31,572.88x = 880,361,991.12
  5. Step 5: Solve for x
    x = 880,361,991.12/31,572.88
  6. Step 6: Final answer
    x = 27,883.49

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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.