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Finding the Fourth Proportional to 65,841.44, 98,744.54 and 18,453.87

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Solution

The fourth proportional to 65,841.44, 98,744.54 and 18,453.87 is: 27,675.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,841.44 : 98,744.54 = 18,453.87 : x
  2. Step 2: Convert to fraction form
    65,841.44/98,744.54 = 18,453.87/x
  3. Step 3: Cross multiply
    65,841.44x = 98,744.54 × 18,453.87
  4. Step 4: Simplify right side
    65,841.44x = 1,822,218,812.10
  5. Step 5: Solve for x
    x = 1,822,218,812.10/65,841.44
  6. Step 6: Final answer
    x = 27,675.87

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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.