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Finding the Fourth Proportional to 107,857.76, 161,787 and 32,977.62

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Solution

The fourth proportional to 107,857.76, 161,787 and 32,977.62 is: 49,466.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,857.76 : 161,787 = 32,977.62 : x
  2. Step 2: Convert to fraction form
    107,857.76/161,787 = 32,977.62/x
  3. Step 3: Cross multiply
    107,857.76x = 161,787 × 32,977.62
  4. Step 4: Simplify right side
    107,857.76x = 5,335,350,206.94
  5. Step 5: Solve for x
    x = 5,335,350,206.94/107,857.76
  6. Step 6: Final answer
    x = 49,466.54

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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.