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Finding the Fourth Proportional to 31,707.85, 43,756.80 and 17,560.69

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Solution

The fourth proportional to 31,707.85, 43,756.80 and 17,560.69 is: 24,233.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,707.85 : 43,756.80 = 17,560.69 : x
  2. Step 2: Convert to fraction form
    31,707.85/43,756.80 = 17,560.69/x
  3. Step 3: Cross multiply
    31,707.85x = 43,756.80 × 17,560.69
  4. Step 4: Simplify right side
    31,707.85x = 768,399,600.19
  5. Step 5: Solve for x
    x = 768,399,600.19/31,707.85
  6. Step 6: Final answer
    x = 24,233.73

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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.