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Finding the Fourth Proportional to 63,814, 95,764.83 and 22,261

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Solution

The fourth proportional to 63,814, 95,764.83 and 22,261 is: 33,406.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,814 : 95,764.83 = 22,261 : x
  2. Step 2: Convert to fraction form
    63,814/95,764.83 = 22,261/x
  3. Step 3: Cross multiply
    63,814x = 95,764.83 × 22,261
  4. Step 4: Simplify right side
    63,814x = 2,131,820,880.63
  5. Step 5: Solve for x
    x = 2,131,820,880.63/63,814
  6. Step 6: Final answer
    x = 33,406.79

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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.