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Finding the Fourth Proportional to 77,002, 115,549.08 and 33,226

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Solution

The fourth proportional to 77,002, 115,549.08 and 33,226 is: 49,858.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,002 : 115,549.08 = 33,226 : x
  2. Step 2: Convert to fraction form
    77,002/115,549.08 = 33,226/x
  3. Step 3: Cross multiply
    77,002x = 115,549.08 × 33,226
  4. Step 4: Simplify right side
    77,002x = 3,839,233,732.08
  5. Step 5: Solve for x
    x = 3,839,233,732.08/77,002
  6. Step 6: Final answer
    x = 49,858.88

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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.