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Finding the Fourth Proportional to 31,697.93, 43,744.51 and 17,550.78

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Solution

The fourth proportional to 31,697.93, 43,744.51 and 17,550.78 is: 24,220.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,697.93 : 43,744.51 = 17,550.78 : x
  2. Step 2: Convert to fraction form
    31,697.93/43,744.51 = 17,550.78/x
  3. Step 3: Cross multiply
    31,697.93x = 43,744.51 × 17,550.78
  4. Step 4: Simplify right side
    31,697.93x = 767,750,129.11
  5. Step 5: Solve for x
    x = 767,750,129.11/31,697.93
  6. Step 6: Final answer
    x = 24,220.83

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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.