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Finding the Fourth Proportional to 36,807.84, 55,204 and 11,850.12

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Solution

The fourth proportional to 36,807.84, 55,204 and 11,850.12 is: 17,772.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,807.84 : 55,204 = 11,850.12 : x
  2. Step 2: Convert to fraction form
    36,807.84/55,204 = 11,850.12/x
  3. Step 3: Cross multiply
    36,807.84x = 55,204 × 11,850.12
  4. Step 4: Simplify right side
    36,807.84x = 654,174,024.48
  5. Step 5: Solve for x
    x = 654,174,024.48/36,807.84
  6. Step 6: Final answer
    x = 17,772.68

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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.