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Finding the Fourth Proportional to 65,535.78, 98,304.75 and 18,788.66

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Solution

The fourth proportional to 65,535.78, 98,304.75 and 18,788.66 is: 28,183.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,535.78 : 98,304.75 = 18,788.66 : x
  2. Step 2: Convert to fraction form
    65,535.78/98,304.75 = 18,788.66/x
  3. Step 3: Cross multiply
    65,535.78x = 98,304.75 × 18,788.66
  4. Step 4: Simplify right side
    65,535.78x = 1,847,014,524.14
  5. Step 5: Solve for x
    x = 1,847,014,524.14/65,535.78
  6. Step 6: Final answer
    x = 28,183.30

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Why These Related Problems?

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