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Finding the Fourth Proportional to 31,384.55, 43,310.75 and 17,238.30

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Solution

The fourth proportional to 31,384.55, 43,310.75 and 17,238.30 is: 23,788.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,384.55 : 43,310.75 = 17,238.30 : x
  2. Step 2: Convert to fraction form
    31,384.55/43,310.75 = 17,238.30/x
  3. Step 3: Cross multiply
    31,384.55x = 43,310.75 × 17,238.30
  4. Step 4: Simplify right side
    31,384.55x = 746,603,615.53
  5. Step 5: Solve for x
    x = 746,603,615.53/31,384.55
  6. Step 6: Final answer
    x = 23,788.89

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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.