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Finding the Fourth Proportional to 35,984.38, 49,658.49 and 19,851.32

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Solution

The fourth proportional to 35,984.38, 49,658.49 and 19,851.32 is: 27,394.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,984.38 : 49,658.49 = 19,851.32 : x
  2. Step 2: Convert to fraction form
    35,984.38/49,658.49 = 19,851.32/x
  3. Step 3: Cross multiply
    35,984.38x = 49,658.49 × 19,851.32
  4. Step 4: Simplify right side
    35,984.38x = 985,786,575.71
  5. Step 5: Solve for x
    x = 985,786,575.71/35,984.38
  6. Step 6: Final answer
    x = 27,394.85

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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.