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Finding the Fourth Proportional to 98,418.25, 147,627.38 and 24,546.25

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Solution

The fourth proportional to 98,418.25, 147,627.38 and 24,546.25 is: 36,819.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,418.25 : 147,627.38 = 24,546.25 : x
  2. Step 2: Convert to fraction form
    98,418.25/147,627.38 = 24,546.25/x
  3. Step 3: Cross multiply
    98,418.25x = 147,627.38 × 24,546.25
  4. Step 4: Simplify right side
    98,418.25x = 3,623,698,576.33
  5. Step 5: Solve for x
    x = 3,623,698,576.33/98,418.25
  6. Step 6: Final answer
    x = 36,819.38

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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.