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Finding the Fourth Proportional to 31,381.60, 43,306.88 and 17,234.54

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Solution

The fourth proportional to 31,381.60, 43,306.88 and 17,234.54 is: 23,783.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,381.60 : 43,306.88 = 17,234.54 : x
  2. Step 2: Convert to fraction form
    31,381.60/43,306.88 = 17,234.54/x
  3. Step 3: Cross multiply
    31,381.60x = 43,306.88 × 17,234.54
  4. Step 4: Simplify right side
    31,381.60x = 746,374,155.64
  5. Step 5: Solve for x
    x = 746,374,155.64/31,381.60
  6. Step 6: Final answer
    x = 23,783.81

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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.