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Finding the Fourth Proportional to 50,154.50, 69,213.22 and 27,798.50

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Solution

The fourth proportional to 50,154.50, 69,213.22 and 27,798.50 is: 38,361.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,154.50 : 69,213.22 = 27,798.50 : x
  2. Step 2: Convert to fraction form
    50,154.50/69,213.22 = 27,798.50/x
  3. Step 3: Cross multiply
    50,154.50x = 69,213.22 × 27,798.50
  4. Step 4: Simplify right side
    50,154.50x = 1,924,023,696.17
  5. Step 5: Solve for x
    x = 1,924,023,696.17/50,154.50
  6. Step 6: Final answer
    x = 38,361.94

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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.