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Finding the Fourth Proportional to 65,682, 90,641.52 and 35,874

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Solution

The fourth proportional to 65,682, 90,641.52 and 35,874 is: 49,506.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,682 : 90,641.52 = 35,874 : x
  2. Step 2: Convert to fraction form
    65,682/90,641.52 = 35,874/x
  3. Step 3: Cross multiply
    65,682x = 90,641.52 × 35,874
  4. Step 4: Simplify right side
    65,682x = 3,251,673,888.48
  5. Step 5: Solve for x
    x = 3,251,673,888.48/65,682
  6. Step 6: Final answer
    x = 49,506.32

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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.