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Finding the Fourth Proportional to 65,589, 98,400.11 and 18,841.88

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Solution

The fourth proportional to 65,589, 98,400.11 and 18,841.88 is: 28,267.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,589 : 98,400.11 = 18,841.88 : x
  2. Step 2: Convert to fraction form
    65,589/98,400.11 = 18,841.88/x
  3. Step 3: Cross multiply
    65,589x = 98,400.11 × 18,841.88
  4. Step 4: Simplify right side
    65,589x = 1,854,043,064.61
  5. Step 5: Solve for x
    x = 1,854,043,064.61/65,589
  6. Step 6: Final answer
    x = 28,267.59

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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.