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Finding the Fourth Proportional to 107,992.65, 161,978.03 and 29,114.85

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Solution

The fourth proportional to 107,992.65, 161,978.03 and 29,114.85 is: 43,669.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,992.65 : 161,978.03 = 29,114.85 : x
  2. Step 2: Convert to fraction form
    107,992.65/161,978.03 = 29,114.85/x
  3. Step 3: Cross multiply
    107,992.65x = 161,978.03 × 29,114.85
  4. Step 4: Simplify right side
    107,992.65x = 4,715,966,046.75
  5. Step 5: Solve for x
    x = 4,715,966,046.75/107,992.65
  6. Step 6: Final answer
    x = 43,669.32

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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.