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Finding the Fourth Proportional to 33,284, 49,964.40 and 16,902.56

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Solution

The fourth proportional to 33,284, 49,964.40 and 16,902.56 is: 25,373.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,284 : 49,964.40 = 16,902.56 : x
  2. Step 2: Convert to fraction form
    33,284/49,964.40 = 16,902.56/x
  3. Step 3: Cross multiply
    33,284x = 49,964.40 × 16,902.56
  4. Step 4: Simplify right side
    33,284x = 844,526,268.86
  5. Step 5: Solve for x
    x = 844,526,268.86/33,284
  6. Step 6: Final answer
    x = 25,373.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.