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Finding the Fourth Proportional to 35,882.97, 49,518.49 and 19,968.45

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Solution

The fourth proportional to 35,882.97, 49,518.49 and 19,968.45 is: 27,556.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,882.97 : 49,518.49 = 19,968.45 : x
  2. Step 2: Convert to fraction form
    35,882.97/49,518.49 = 19,968.45/x
  3. Step 3: Cross multiply
    35,882.97x = 49,518.49 × 19,968.45
  4. Step 4: Simplify right side
    35,882.97x = 988,807,491.64
  5. Step 5: Solve for x
    x = 988,807,491.64/35,882.97
  6. Step 6: Final answer
    x = 27,556.46

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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.