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Finding the Fourth Proportional to 35,751.97, 49,337.47 and 19,836.42

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Solution

The fourth proportional to 35,751.97, 49,337.47 and 19,836.42 is: 27,374.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,751.97 : 49,337.47 = 19,836.42 : x
  2. Step 2: Convert to fraction form
    35,751.97/49,337.47 = 19,836.42/x
  3. Step 3: Cross multiply
    35,751.97x = 49,337.47 × 19,836.42
  4. Step 4: Simplify right side
    35,751.97x = 978,678,776.66
  5. Step 5: Solve for x
    x = 978,678,776.66/35,751.97
  6. Step 6: Final answer
    x = 27,374.12

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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.