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Finding the Fourth Proportional to 34,765.46, 47,950.84 and 22,824.44

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Solution

The fourth proportional to 34,765.46, 47,950.84 and 22,824.44 is: 31,480.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,765.46 : 47,950.84 = 22,824.44 : x
  2. Step 2: Convert to fraction form
    34,765.46/47,950.84 = 22,824.44/x
  3. Step 3: Cross multiply
    34,765.46x = 47,950.84 × 22,824.44
  4. Step 4: Simplify right side
    34,765.46x = 1,094,451,070.53
  5. Step 5: Solve for x
    x = 1,094,451,070.53/34,765.46
  6. Step 6: Final answer
    x = 31,480.99

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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.