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Finding the Fourth Proportional to 50,882.70, 70,218.64 and 28,222.14

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Solution

The fourth proportional to 50,882.70, 70,218.64 and 28,222.14 is: 38,946.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,882.70 : 70,218.64 = 28,222.14 : x
  2. Step 2: Convert to fraction form
    50,882.70/70,218.64 = 28,222.14/x
  3. Step 3: Cross multiply
    50,882.70x = 70,218.64 × 28,222.14
  4. Step 4: Simplify right side
    50,882.70x = 1,981,720,288.69
  5. Step 5: Solve for x
    x = 1,981,720,288.69/50,882.70
  6. Step 6: Final answer
    x = 38,946.84

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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.