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Finding the Fourth Proportional to 85,434.62, 117,891.05 and 49,632.21

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Solution

The fourth proportional to 85,434.62, 117,891.05 and 49,632.21 is: 68,487.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,434.62 : 117,891.05 = 49,632.21 : x
  2. Step 2: Convert to fraction form
    85,434.62/117,891.05 = 49,632.21/x
  3. Step 3: Cross multiply
    85,434.62x = 117,891.05 × 49,632.21
  4. Step 4: Simplify right side
    85,434.62x = 5,851,193,102.56
  5. Step 5: Solve for x
    x = 5,851,193,102.56/85,434.62
  6. Step 6: Final answer
    x = 68,487.38

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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.