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Finding the Fourth Proportional to 69,971.32, 96,560.41 and 38,140.44

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Solution

The fourth proportional to 69,971.32, 96,560.41 and 38,140.44 is: 52,633.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,971.32 : 96,560.41 = 38,140.44 : x
  2. Step 2: Convert to fraction form
    69,971.32/96,560.41 = 38,140.44/x
  3. Step 3: Cross multiply
    69,971.32x = 96,560.41 × 38,140.44
  4. Step 4: Simplify right side
    69,971.32x = 3,682,856,523.98
  5. Step 5: Solve for x
    x = 3,682,856,523.98/69,971.32
  6. Step 6: Final answer
    x = 52,633.80

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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.