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Finding the Fourth Proportional to 68,446.54, 102,454.72 and 43,514.74

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Solution

The fourth proportional to 68,446.54, 102,454.72 and 43,514.74 is: 65,135.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,446.54 : 102,454.72 = 43,514.74 : x
  2. Step 2: Convert to fraction form
    68,446.54/102,454.72 = 43,514.74/x
  3. Step 3: Cross multiply
    68,446.54x = 102,454.72 × 43,514.74
  4. Step 4: Simplify right side
    68,446.54x = 4,458,290,502.57
  5. Step 5: Solve for x
    x = 4,458,290,502.57/68,446.54
  6. Step 6: Final answer
    x = 65,135.37

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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.