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Finding the Fourth Proportional to 31,708.56, 43,758.18 and 17,561.64

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Solution

The fourth proportional to 31,708.56, 43,758.18 and 17,561.64 is: 24,235.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,708.56 : 43,758.18 = 17,561.64 : x
  2. Step 2: Convert to fraction form
    31,708.56/43,758.18 = 17,561.64/x
  3. Step 3: Cross multiply
    31,708.56x = 43,758.18 × 17,561.64
  4. Step 4: Simplify right side
    31,708.56x = 768,465,404.22
  5. Step 5: Solve for x
    x = 768,465,404.22/31,708.56
  6. Step 6: Final answer
    x = 24,235.27

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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.