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Finding the Fourth Proportional to 50,759.76, 76,155.22 and 22,703.42

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Solution

The fourth proportional to 50,759.76, 76,155.22 and 22,703.42 is: 34,062.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,759.76 : 76,155.22 = 22,703.42 : x
  2. Step 2: Convert to fraction form
    50,759.76/76,155.22 = 22,703.42/x
  3. Step 3: Cross multiply
    50,759.76x = 76,155.22 × 22,703.42
  4. Step 4: Simplify right side
    50,759.76x = 1,728,983,944.85
  5. Step 5: Solve for x
    x = 1,728,983,944.85/50,759.76
  6. Step 6: Final answer
    x = 34,062.10

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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.