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Finding the Fourth Proportional to 35,797.68, 49,401.36 and 19,882.80

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Solution

The fourth proportional to 35,797.68, 49,401.36 and 19,882.80 is: 27,438.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,797.68 : 49,401.36 = 19,882.80 : x
  2. Step 2: Convert to fraction form
    35,797.68/49,401.36 = 19,882.80/x
  3. Step 3: Cross multiply
    35,797.68x = 49,401.36 × 19,882.80
  4. Step 4: Simplify right side
    35,797.68x = 982,237,360.61
  5. Step 5: Solve for x
    x = 982,237,360.61/35,797.68
  6. Step 6: Final answer
    x = 27,438.58

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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.