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Finding the Fourth Proportional to 65,466.74, 98,205.78 and 18,081.86

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Solution

The fourth proportional to 65,466.74, 98,205.78 and 18,081.86 is: 27,124.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,466.74 : 98,205.78 = 18,081.86 : x
  2. Step 2: Convert to fraction form
    65,466.74/98,205.78 = 18,081.86/x
  3. Step 3: Cross multiply
    65,466.74x = 98,205.78 × 18,081.86
  4. Step 4: Simplify right side
    65,466.74x = 1,775,743,165.15
  5. Step 5: Solve for x
    x = 1,775,743,165.15/65,466.74
  6. Step 6: Final answer
    x = 27,124.36

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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.