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Finding the Fourth Proportional to 71,762.46, 107,647.56 and 21,844.14

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Solution

The fourth proportional to 71,762.46, 107,647.56 and 21,844.14 is: 32,767.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,762.46 : 107,647.56 = 21,844.14 : x
  2. Step 2: Convert to fraction form
    71,762.46/107,647.56 = 21,844.14/x
  3. Step 3: Cross multiply
    71,762.46x = 107,647.56 × 21,844.14
  4. Step 4: Simplify right side
    71,762.46x = 2,351,468,371.30
  5. Step 5: Solve for x
    x = 2,351,468,371.30/71,762.46
  6. Step 6: Final answer
    x = 32,767.39

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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.