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Finding the Fourth Proportional to 69,864, 96,419.61 and 39,657.48

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Solution

The fourth proportional to 69,864, 96,419.61 and 39,657.48 is: 54,731.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,864 : 96,419.61 = 39,657.48 : x
  2. Step 2: Convert to fraction form
    69,864/96,419.61 = 39,657.48/x
  3. Step 3: Cross multiply
    69,864x = 96,419.61 × 39,657.48
  4. Step 4: Simplify right side
    69,864x = 3,823,758,755.18
  5. Step 5: Solve for x
    x = 3,823,758,755.18/69,864
  6. Step 6: Final answer
    x = 54,731.46

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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.