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Finding the Fourth Proportional to 31,351.64, 43,265.12 and 17,011.46

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Solution

The fourth proportional to 31,351.64, 43,265.12 and 17,011.46 is: 23,475.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,351.64 : 43,265.12 = 17,011.46 : x
  2. Step 2: Convert to fraction form
    31,351.64/43,265.12 = 17,011.46/x
  3. Step 3: Cross multiply
    31,351.64x = 43,265.12 × 17,011.46
  4. Step 4: Simplify right side
    31,351.64x = 736,002,858.28
  5. Step 5: Solve for x
    x = 736,002,858.28/31,351.64
  6. Step 6: Final answer
    x = 23,475.74

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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.