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Finding the Fourth Proportional to 33,471, 50,177.88 and 13,737.24

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Solution

The fourth proportional to 33,471, 50,177.88 and 13,737.24 is: 20,594.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,471 : 50,177.88 = 13,737.24 : x
  2. Step 2: Convert to fraction form
    33,471/50,177.88 = 13,737.24/x
  3. Step 3: Cross multiply
    33,471x = 50,177.88 × 13,737.24
  4. Step 4: Simplify right side
    33,471x = 689,305,580.25
  5. Step 5: Solve for x
    x = 689,305,580.25/33,471
  6. Step 6: Final answer
    x = 20,594.11

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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.