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Finding the Fourth Proportional to 107,947.60, 161,872.80 and 48,752.80

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Solution

The fourth proportional to 107,947.60, 161,872.80 and 48,752.80 is: 73,107.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,947.60 : 161,872.80 = 48,752.80 : x
  2. Step 2: Convert to fraction form
    107,947.60/161,872.80 = 48,752.80/x
  3. Step 3: Cross multiply
    107,947.60x = 161,872.80 × 48,752.80
  4. Step 4: Simplify right side
    107,947.60x = 7,891,752,243.84
  5. Step 5: Solve for x
    x = 7,891,752,243.84/107,947.60
  6. Step 6: Final answer
    x = 73,107.25

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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.