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Finding the Fourth Proportional to 39,822.28, 54,954.94 and 22,827.54

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Solution

The fourth proportional to 39,822.28, 54,954.94 and 22,827.54 is: 31,502.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,822.28 : 54,954.94 = 22,827.54 : x
  2. Step 2: Convert to fraction form
    39,822.28/54,954.94 = 22,827.54/x
  3. Step 3: Cross multiply
    39,822.28x = 54,954.94 × 22,827.54
  4. Step 4: Simplify right side
    39,822.28x = 1,254,486,091.05
  5. Step 5: Solve for x
    x = 1,254,486,091.05/39,822.28
  6. Step 6: Final answer
    x = 31,502.12

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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.