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Finding the Fourth Proportional to 107,930.52, 161,907.48 and 41,427

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Solution

The fourth proportional to 107,930.52, 161,907.48 and 41,427 is: 62,144.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,930.52 : 161,907.48 = 41,427 : x
  2. Step 2: Convert to fraction form
    107,930.52/161,907.48 = 41,427/x
  3. Step 3: Cross multiply
    107,930.52x = 161,907.48 × 41,427
  4. Step 4: Simplify right side
    107,930.52x = 6,707,341,173.96
  5. Step 5: Solve for x
    x = 6,707,341,173.96/107,930.52
  6. Step 6: Final answer
    x = 62,144.99

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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.