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Finding the Fourth Proportional to 69,856.21, 96,397.66 and 38,023.21

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Solution

The fourth proportional to 69,856.21, 96,397.66 and 38,023.21 is: 52,469.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,856.21 : 96,397.66 = 38,023.21 : x
  2. Step 2: Convert to fraction form
    69,856.21/96,397.66 = 38,023.21/x
  3. Step 3: Cross multiply
    69,856.21x = 96,397.66 × 38,023.21
  4. Step 4: Simplify right side
    69,856.21x = 3,665,348,469.69
  5. Step 5: Solve for x
    x = 3,665,348,469.69/69,856.21
  6. Step 6: Final answer
    x = 52,469.90

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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.