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Finding the Fourth Proportional to 89,684.69, 134,508.67 and 33,514.43

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Solution

The fourth proportional to 89,684.69, 134,508.67 and 33,514.43 is: 50,264.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,684.69 : 134,508.67 = 33,514.43 : x
  2. Step 2: Convert to fraction form
    89,684.69/134,508.67 = 33,514.43/x
  3. Step 3: Cross multiply
    89,684.69x = 134,508.67 × 33,514.43
  4. Step 4: Simplify right side
    89,684.69x = 4,507,980,648.78
  5. Step 5: Solve for x
    x = 4,507,980,648.78/89,684.69
  6. Step 6: Final answer
    x = 50,264.78

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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.