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Finding the Fourth Proportional to 31,672.40, 47,459.34 and 11,940.20

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Solution

The fourth proportional to 31,672.40, 47,459.34 and 11,940.20 is: 17,891.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,672.40 : 47,459.34 = 11,940.20 : x
  2. Step 2: Convert to fraction form
    31,672.40/47,459.34 = 11,940.20/x
  3. Step 3: Cross multiply
    31,672.40x = 47,459.34 × 11,940.20
  4. Step 4: Simplify right side
    31,672.40x = 566,673,774.17
  5. Step 5: Solve for x
    x = 566,673,774.17/31,672.40
  6. Step 6: Final answer
    x = 17,891.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.