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Finding the Fourth Proportional to 107,966.52, 161,960.52 and 33,085.80

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Solution

The fourth proportional to 107,966.52, 161,960.52 and 33,085.80 is: 49,631.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,966.52 : 161,960.52 = 33,085.80 : x
  2. Step 2: Convert to fraction form
    107,966.52/161,960.52 = 33,085.80/x
  3. Step 3: Cross multiply
    107,966.52x = 161,960.52 × 33,085.80
  4. Step 4: Simplify right side
    107,966.52x = 5,358,593,372.62
  5. Step 5: Solve for x
    x = 5,358,593,372.62/107,966.52
  6. Step 6: Final answer
    x = 49,631.99

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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.