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Finding the Fourth Proportional to 51,600.34, 71,221.17 and 31,468.33

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Solution

The fourth proportional to 51,600.34, 71,221.17 and 31,468.33 is: 43,434.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,600.34 : 71,221.17 = 31,468.33 : x
  2. Step 2: Convert to fraction form
    51,600.34/71,221.17 = 31,468.33/x
  3. Step 3: Cross multiply
    51,600.34x = 71,221.17 × 31,468.33
  4. Step 4: Simplify right side
    51,600.34x = 2,241,211,280.55
  5. Step 5: Solve for x
    x = 2,241,211,280.55/51,600.34
  6. Step 6: Final answer
    x = 43,434.04

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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.