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Finding the Fourth Proportional to 107,907.40, 161,872.86 and 41,404

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Solution

The fourth proportional to 107,907.40, 161,872.86 and 41,404 is: 62,110.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,907.40 : 161,872.86 = 41,404 : x
  2. Step 2: Convert to fraction form
    107,907.40/161,872.86 = 41,404/x
  3. Step 3: Cross multiply
    107,907.40x = 161,872.86 × 41,404
  4. Step 4: Simplify right side
    107,907.40x = 6,702,183,895.44
  5. Step 5: Solve for x
    x = 6,702,183,895.44/107,907.40
  6. Step 6: Final answer
    x = 62,110.51

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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.