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Finding the Fourth Proportional to 35,816.78, 49,414.56 and 22,383.20

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Solution

The fourth proportional to 35,816.78, 49,414.56 and 22,383.20 is: 30,880.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,816.78 : 49,414.56 = 22,383.20 : x
  2. Step 2: Convert to fraction form
    35,816.78/49,414.56 = 22,383.20/x
  3. Step 3: Cross multiply
    35,816.78x = 49,414.56 × 22,383.20
  4. Step 4: Simplify right side
    35,816.78x = 1,106,055,979.39
  5. Step 5: Solve for x
    x = 1,106,055,979.39/35,816.78
  6. Step 6: Final answer
    x = 30,880.94

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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.