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Finding the Fourth Proportional to 39,076.38, 53,922.12 and 22,082.10

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Solution

The fourth proportional to 39,076.38, 53,922.12 and 22,082.10 is: 30,471.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,076.38 : 53,922.12 = 22,082.10 : x
  2. Step 2: Convert to fraction form
    39,076.38/53,922.12 = 22,082.10/x
  3. Step 3: Cross multiply
    39,076.38x = 53,922.12 × 22,082.10
  4. Step 4: Simplify right side
    39,076.38x = 1,190,713,646.05
  5. Step 5: Solve for x
    x = 1,190,713,646.05/39,076.38
  6. Step 6: Final answer
    x = 30,471.44

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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.