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Finding the Fourth Proportional to 33,471.70, 50,206.26 and 10,097.50

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Solution

The fourth proportional to 33,471.70, 50,206.26 and 10,097.50 is: 15,145.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,471.70 : 50,206.26 = 10,097.50 : x
  2. Step 2: Convert to fraction form
    33,471.70/50,206.26 = 10,097.50/x
  3. Step 3: Cross multiply
    33,471.70x = 50,206.26 × 10,097.50
  4. Step 4: Simplify right side
    33,471.70x = 506,957,710.35
  5. Step 5: Solve for x
    x = 506,957,710.35/33,471.70
  6. Step 6: Final answer
    x = 15,145.86

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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.