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Finding the Fourth Proportional to 35,797.49, 49,399.17 and 19,882.96

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Solution

The fourth proportional to 35,797.49, 49,399.17 and 19,882.96 is: 27,437.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,797.49 : 49,399.17 = 19,882.96 : x
  2. Step 2: Convert to fraction form
    35,797.49/49,399.17 = 19,882.96/x
  3. Step 3: Cross multiply
    35,797.49x = 49,399.17 × 19,882.96
  4. Step 4: Simplify right side
    35,797.49x = 982,201,721.14
  5. Step 5: Solve for x
    x = 982,201,721.14/35,797.49
  6. Step 6: Final answer
    x = 27,437.73

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1.5x scale

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.