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Finding the Fourth Proportional to 65,494.40, 98,241.16 and 18,747.40

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Solution

The fourth proportional to 65,494.40, 98,241.16 and 18,747.40 is: 28,120.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,494.40 : 98,241.16 = 18,747.40 : x
  2. Step 2: Convert to fraction form
    65,494.40/98,241.16 = 18,747.40/x
  3. Step 3: Cross multiply
    65,494.40x = 98,241.16 × 18,747.40
  4. Step 4: Simplify right side
    65,494.40x = 1,841,766,322.98
  5. Step 5: Solve for x
    x = 1,841,766,322.98/65,494.40
  6. Step 6: Final answer
    x = 28,120.97

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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.