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Finding the Fourth Proportional to 50,882.70, 70,144.38 and 35,729.22

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Solution

The fourth proportional to 50,882.70, 70,144.38 and 35,729.22 is: 49,254.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,882.70 : 70,144.38 = 35,729.22 : x
  2. Step 2: Convert to fraction form
    50,882.70/70,144.38 = 35,729.22/x
  3. Step 3: Cross multiply
    50,882.70x = 70,144.38 × 35,729.22
  4. Step 4: Simplify right side
    50,882.70x = 2,506,203,984.78
  5. Step 5: Solve for x
    x = 2,506,203,984.78/50,882.70
  6. Step 6: Final answer
    x = 49,254.54

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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.