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Finding the Fourth Proportional to 71,291.11, 106,934.46 and 33,878.11

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Solution

The fourth proportional to 71,291.11, 106,934.46 and 33,878.11 is: 50,816.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,291.11 : 106,934.46 = 33,878.11 : x
  2. Step 2: Convert to fraction form
    71,291.11/106,934.46 = 33,878.11/x
  3. Step 3: Cross multiply
    71,291.11x = 106,934.46 × 33,878.11
  4. Step 4: Simplify right side
    71,291.11x = 3,622,737,398.67
  5. Step 5: Solve for x
    x = 3,622,737,398.67/71,291.11
  6. Step 6: Final answer
    x = 50,816.12

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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.