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Finding the Fourth Proportional to 71,765.46, 107,652.06 and 21,847.14

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Solution

The fourth proportional to 71,765.46, 107,652.06 and 21,847.14 is: 32,771.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,765.46 : 107,652.06 = 21,847.14 : x
  2. Step 2: Convert to fraction form
    71,765.46/107,652.06 = 21,847.14/x
  3. Step 3: Cross multiply
    71,765.46x = 107,652.06 × 21,847.14
  4. Step 4: Simplify right side
    71,765.46x = 2,351,889,626.11
  5. Step 5: Solve for x
    x = 2,351,889,626.11/71,765.46
  6. Step 6: Final answer
    x = 32,771.89

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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.