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Finding the Fourth Proportional to 35,751.80, 49,337.70 and 19,836.56

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Solution

The fourth proportional to 35,751.80, 49,337.70 and 19,836.56 is: 27,374.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,751.80 : 49,337.70 = 19,836.56 : x
  2. Step 2: Convert to fraction form
    35,751.80/49,337.70 = 19,836.56/x
  3. Step 3: Cross multiply
    35,751.80x = 49,337.70 × 19,836.56
  4. Step 4: Simplify right side
    35,751.80x = 978,690,246.31
  5. Step 5: Solve for x
    x = 978,690,246.31/35,751.80
  6. Step 6: Final answer
    x = 27,374.57

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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.