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Finding the Fourth Proportional to 33,205.71, 45,824.22 and 19,777.14

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Solution

The fourth proportional to 33,205.71, 45,824.22 and 19,777.14 is: 27,292.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,205.71 : 45,824.22 = 19,777.14 : x
  2. Step 2: Convert to fraction form
    33,205.71/45,824.22 = 19,777.14/x
  3. Step 3: Cross multiply
    33,205.71x = 45,824.22 × 19,777.14
  4. Step 4: Simplify right side
    33,205.71x = 906,272,014.33
  5. Step 5: Solve for x
    x = 906,272,014.33/33,205.71
  6. Step 6: Final answer
    x = 27,292.66

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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.