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Finding the Fourth Proportional to 50,694.84, 69,941.82 and 32,812.44

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Solution

The fourth proportional to 50,694.84, 69,941.82 and 32,812.44 is: 45,270.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,694.84 : 69,941.82 = 32,812.44 : x
  2. Step 2: Convert to fraction form
    50,694.84/69,941.82 = 32,812.44/x
  3. Step 3: Cross multiply
    50,694.84x = 69,941.82 × 32,812.44
  4. Step 4: Simplify right side
    50,694.84x = 2,294,961,772.24
  5. Step 5: Solve for x
    x = 2,294,961,772.24/50,694.84
  6. Step 6: Final answer
    x = 45,270.13

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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.