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Finding the Fourth Proportional to 98,467.24, 135,884.10 and 53,755.24

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Solution

The fourth proportional to 98,467.24, 135,884.10 and 53,755.24 is: 74,181.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,467.24 : 135,884.10 = 53,755.24 : x
  2. Step 2: Convert to fraction form
    98,467.24/135,884.10 = 53,755.24/x
  3. Step 3: Cross multiply
    98,467.24x = 135,884.10 × 53,755.24
  4. Step 4: Simplify right side
    98,467.24x = 7,304,482,407.68
  5. Step 5: Solve for x
    x = 7,304,482,407.68/98,467.24
  6. Step 6: Final answer
    x = 74,181.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.