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Finding the Fourth Proportional to 31,533.50, 43,519.31 and 23,561.89

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Solution

The fourth proportional to 31,533.50, 43,519.31 and 23,561.89 is: 32,517.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,533.50 : 43,519.31 = 23,561.89 : x
  2. Step 2: Convert to fraction form
    31,533.50/43,519.31 = 23,561.89/x
  3. Step 3: Cross multiply
    31,533.50x = 43,519.31 × 23,561.89
  4. Step 4: Simplify right side
    31,533.50x = 1,025,397,056.85
  5. Step 5: Solve for x
    x = 1,025,397,056.85/31,533.50
  6. Step 6: Final answer
    x = 32,517.70

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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.