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Finding the Fourth Proportional to 31,697.67, 43,744.16 and 17,550.52

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Solution

The fourth proportional to 31,697.67, 43,744.16 and 17,550.52 is: 24,220.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,697.67 : 43,744.16 = 17,550.52 : x
  2. Step 2: Convert to fraction form
    31,697.67/43,744.16 = 17,550.52/x
  3. Step 3: Cross multiply
    31,697.67x = 43,744.16 × 17,550.52
  4. Step 4: Simplify right side
    31,697.67x = 767,732,623.66
  5. Step 5: Solve for x
    x = 767,732,623.66/31,697.67
  6. Step 6: Final answer
    x = 24,220.47

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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.