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Finding the Fourth Proportional to 48,112.25, 66,394.50 and 27,698.31

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Solution

The fourth proportional to 48,112.25, 66,394.50 and 27,698.31 is: 38,223.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,112.25 : 66,394.50 = 27,698.31 : x
  2. Step 2: Convert to fraction form
    48,112.25/66,394.50 = 27,698.31/x
  3. Step 3: Cross multiply
    48,112.25x = 66,394.50 × 27,698.31
  4. Step 4: Simplify right side
    48,112.25x = 1,839,015,617.74
  5. Step 5: Solve for x
    x = 1,839,015,617.74/48,112.25
  6. Step 6: Final answer
    x = 38,223.44

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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.