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Finding the Fourth Proportional to 31,610.34, 43,580.75 and 24,350.63

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Solution

The fourth proportional to 31,610.34, 43,580.75 and 24,350.63 is: 33,571.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,610.34 : 43,580.75 = 24,350.63 : x
  2. Step 2: Convert to fraction form
    31,610.34/43,580.75 = 24,350.63/x
  3. Step 3: Cross multiply
    31,610.34x = 43,580.75 × 24,350.63
  4. Step 4: Simplify right side
    31,610.34x = 1,061,218,378.72
  5. Step 5: Solve for x
    x = 1,061,218,378.72/31,610.34
  6. Step 6: Final answer
    x = 33,571.87

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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.