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Finding the Fourth Proportional to 50,860, 76,307.92 and 22,777.76

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Solution

The fourth proportional to 50,860, 76,307.92 and 22,777.76 is: 34,174.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,860 : 76,307.92 = 22,777.76 : x
  2. Step 2: Convert to fraction form
    50,860/76,307.92 = 22,777.76/x
  3. Step 3: Cross multiply
    50,860x = 76,307.92 × 22,777.76
  4. Step 4: Simplify right side
    50,860x = 1,738,123,487.86
  5. Step 5: Solve for x
    x = 1,738,123,487.86/50,860
  6. Step 6: Final answer
    x = 34,174.67

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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.