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Finding the Fourth Proportional to 69,734.24, 96,232.80 and 39,932

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Solution

The fourth proportional to 69,734.24, 96,232.80 and 39,932 is: 55,105.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,734.24 : 96,232.80 = 39,932 : x
  2. Step 2: Convert to fraction form
    69,734.24/96,232.80 = 39,932/x
  3. Step 3: Cross multiply
    69,734.24x = 96,232.80 × 39,932
  4. Step 4: Simplify right side
    69,734.24x = 3,842,768,169.60
  5. Step 5: Solve for x
    x = 3,842,768,169.60/69,734.24
  6. Step 6: Final answer
    x = 55,105.90

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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.