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Finding the Fourth Proportional to 69,638.22, 96,098.07 and 37,806.42

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Solution

The fourth proportional to 69,638.22, 96,098.07 and 37,806.42 is: 52,171.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,638.22 : 96,098.07 = 37,806.42 : x
  2. Step 2: Convert to fraction form
    69,638.22/96,098.07 = 37,806.42/x
  3. Step 3: Cross multiply
    69,638.22x = 96,098.07 × 37,806.42
  4. Step 4: Simplify right side
    69,638.22x = 3,633,123,995.61
  5. Step 5: Solve for x
    x = 3,633,123,995.61/69,638.22
  6. Step 6: Final answer
    x = 52,171.41

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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.