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Finding the Fourth Proportional to 65,524.66, 98,304 and 18,781.18

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Solution

The fourth proportional to 65,524.66, 98,304 and 18,781.18 is: 28,176.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,524.66 : 98,304 = 18,781.18 : x
  2. Step 2: Convert to fraction form
    65,524.66/98,304 = 18,781.18/x
  3. Step 3: Cross multiply
    65,524.66x = 98,304 × 18,781.18
  4. Step 4: Simplify right side
    65,524.66x = 1,846,265,118.72
  5. Step 5: Solve for x
    x = 1,846,265,118.72/65,524.66
  6. Step 6: Final answer
    x = 28,176.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.