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Finding the Fourth Proportional to 71,958.68, 107,984.72 and 32,516.13

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Solution

The fourth proportional to 71,958.68, 107,984.72 and 32,516.13 is: 48,795.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,958.68 : 107,984.72 = 32,516.13 : x
  2. Step 2: Convert to fraction form
    71,958.68/107,984.72 = 32,516.13/x
  3. Step 3: Cross multiply
    71,958.68x = 107,984.72 × 32,516.13
  4. Step 4: Simplify right side
    71,958.68x = 3,511,245,588.32
  5. Step 5: Solve for x
    x = 3,511,245,588.32/71,958.68
  6. Step 6: Final answer
    x = 48,795.30

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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.