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Finding the Fourth Proportional to 31,438.56, 43,384.50 and 17,291.10

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Solution

The fourth proportional to 31,438.56, 43,384.50 and 17,291.10 is: 23,861.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,438.56 : 43,384.50 = 17,291.10 : x
  2. Step 2: Convert to fraction form
    31,438.56/43,384.50 = 17,291.10/x
  3. Step 3: Cross multiply
    31,438.56x = 43,384.50 × 17,291.10
  4. Step 4: Simplify right side
    31,438.56x = 750,165,727.95
  5. Step 5: Solve for x
    x = 750,165,727.95/31,438.56
  6. Step 6: Final answer
    x = 23,861.33

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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.