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Finding the Fourth Proportional to 31,774.68, 43,847.57 and 17,434.18

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Solution

The fourth proportional to 31,774.68, 43,847.57 and 17,434.18 is: 24,058.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,774.68 : 43,847.57 = 17,434.18 : x
  2. Step 2: Convert to fraction form
    31,774.68/43,847.57 = 17,434.18/x
  3. Step 3: Cross multiply
    31,774.68x = 43,847.57 × 17,434.18
  4. Step 4: Simplify right side
    31,774.68x = 764,446,121.53
  5. Step 5: Solve for x
    x = 764,446,121.53/31,774.68
  6. Step 6: Final answer
    x = 24,058.35

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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.