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Finding the Fourth Proportional to 98,446.38, 135,856 and 53,734.38

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Solution

The fourth proportional to 98,446.38, 135,856 and 53,734.38 is: 74,153.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,446.38 : 135,856 = 53,734.38 : x
  2. Step 2: Convert to fraction form
    98,446.38/135,856 = 53,734.38/x
  3. Step 3: Cross multiply
    98,446.38x = 135,856 × 53,734.38
  4. Step 4: Simplify right side
    98,446.38x = 7,300,137,929.28
  5. Step 5: Solve for x
    x = 7,300,137,929.28/98,446.38
  6. Step 6: Final answer
    x = 74,153.44

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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.