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Finding the Fourth Proportional to 31,697.90, 43,744.50 and 17,550.77

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Solution

The fourth proportional to 31,697.90, 43,744.50 and 17,550.77 is: 24,220.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,697.90 : 43,744.50 = 17,550.77 : x
  2. Step 2: Convert to fraction form
    31,697.90/43,744.50 = 17,550.77/x
  3. Step 3: Cross multiply
    31,697.90x = 43,744.50 × 17,550.77
  4. Step 4: Simplify right side
    31,697.90x = 767,749,658.27
  5. Step 5: Solve for x
    x = 767,749,658.27/31,697.90
  6. Step 6: Final answer
    x = 24,220.84

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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.