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Finding the Fourth Proportional to 35,796.78, 49,397.88 and 19,882.20

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Solution

The fourth proportional to 35,796.78, 49,397.88 and 19,882.20 is: 27,436.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,796.78 : 49,397.88 = 19,882.20 : x
  2. Step 2: Convert to fraction form
    35,796.78/49,397.88 = 19,882.20/x
  3. Step 3: Cross multiply
    35,796.78x = 49,397.88 × 19,882.20
  4. Step 4: Simplify right side
    35,796.78x = 982,138,529.74
  5. Step 5: Solve for x
    x = 982,138,529.74/35,796.78
  6. Step 6: Final answer
    x = 27,436.50

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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.