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Finding the Fourth Proportional to 47,961.48, 66,169.48 and 27,807.26

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Solution

The fourth proportional to 47,961.48, 66,169.48 and 27,807.26 is: 38,363.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,961.48 : 66,169.48 = 27,807.26 : x
  2. Step 2: Convert to fraction form
    47,961.48/66,169.48 = 27,807.26/x
  3. Step 3: Cross multiply
    47,961.48x = 66,169.48 × 27,807.26
  4. Step 4: Simplify right side
    47,961.48x = 1,839,991,934.42
  5. Step 5: Solve for x
    x = 1,839,991,934.42/47,961.48
  6. Step 6: Final answer
    x = 38,363.95

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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.