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Finding the Fourth Proportional to 47,959.54, 66,166.81 and 27,805.32

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Solution

The fourth proportional to 47,959.54, 66,166.81 and 27,805.32 is: 38,361.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,959.54 : 66,166.81 = 27,805.32 : x
  2. Step 2: Convert to fraction form
    47,959.54/66,166.81 = 27,805.32/x
  3. Step 3: Cross multiply
    47,959.54x = 66,166.81 × 27,805.32
  4. Step 4: Simplify right side
    47,959.54x = 1,839,789,255.92
  5. Step 5: Solve for x
    x = 1,839,789,255.92/47,959.54
  6. Step 6: Final answer
    x = 38,361.28

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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.