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Finding the Fourth Proportional to 27,371.70, 37,772.85 and 14,796.45

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Solution

The fourth proportional to 27,371.70, 37,772.85 and 14,796.45 is: 20,419.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,371.70 : 37,772.85 = 14,796.45 : x
  2. Step 2: Convert to fraction form
    27,371.70/37,772.85 = 14,796.45/x
  3. Step 3: Cross multiply
    27,371.70x = 37,772.85 × 14,796.45
  4. Step 4: Simplify right side
    27,371.70x = 558,904,086.38
  5. Step 5: Solve for x
    x = 558,904,086.38/27,371.70
  6. Step 6: Final answer
    x = 20,419.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.