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Finding the Fourth Proportional to 107,752.50, 161,654.67 and 33,880.50

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Solution

The fourth proportional to 107,752.50, 161,654.67 and 33,880.50 is: 50,828.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,752.50 : 161,654.67 = 33,880.50 : x
  2. Step 2: Convert to fraction form
    107,752.50/161,654.67 = 33,880.50/x
  3. Step 3: Cross multiply
    107,752.50x = 161,654.67 × 33,880.50
  4. Step 4: Simplify right side
    107,752.50x = 5,476,941,046.94
  5. Step 5: Solve for x
    x = 5,476,941,046.94/107,752.50
  6. Step 6: Final answer
    x = 50,828.90

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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.