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Finding the Fourth Proportional to 71,085.13, 106,658.81 and 33,671.90

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Solution

The fourth proportional to 71,085.13, 106,658.81 and 33,671.90 is: 50,522.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,085.13 : 106,658.81 = 33,671.90 : x
  2. Step 2: Convert to fraction form
    71,085.13/106,658.81 = 33,671.90/x
  3. Step 3: Cross multiply
    71,085.13x = 106,658.81 × 33,671.90
  4. Step 4: Simplify right side
    71,085.13x = 3,591,405,009.00
  5. Step 5: Solve for x
    x = 3,591,405,009.00/71,085.13
  6. Step 6: Final answer
    x = 50,522.59

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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.