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Finding the Fourth Proportional to 107,687.56, 161,431.50 and 47,684.08

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Solution

The fourth proportional to 107,687.56, 161,431.50 and 47,684.08 is: 71,481.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,687.56 : 161,431.50 = 47,684.08 : x
  2. Step 2: Convert to fraction form
    107,687.56/161,431.50 = 47,684.08/x
  3. Step 3: Cross multiply
    107,687.56x = 161,431.50 × 47,684.08
  4. Step 4: Simplify right side
    107,687.56x = 7,697,711,514.94
  5. Step 5: Solve for x
    x = 7,697,711,514.94/107,687.56
  6. Step 6: Final answer
    x = 71,481.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.