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Finding the Fourth Proportional to 47,906.78, 66,111.45 and 27,767.54

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Solution

The fourth proportional to 47,906.78, 66,111.45 and 27,767.54 is: 38,319.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,906.78 : 66,111.45 = 27,767.54 : x
  2. Step 2: Convert to fraction form
    47,906.78/66,111.45 = 27,767.54/x
  3. Step 3: Cross multiply
    47,906.78x = 66,111.45 × 27,767.54
  4. Step 4: Simplify right side
    47,906.78x = 1,835,752,332.33
  5. Step 5: Solve for x
    x = 1,835,752,332.33/47,906.78
  6. Step 6: Final answer
    x = 38,319.26

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