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Finding the Fourth Proportional to 50,154, 69,212.52 and 27,798

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Solution

The fourth proportional to 50,154, 69,212.52 and 27,798 is: 38,361.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,154 : 69,212.52 = 27,798 : x
  2. Step 2: Convert to fraction form
    50,154/69,212.52 = 27,798/x
  3. Step 3: Cross multiply
    50,154x = 69,212.52 × 27,798
  4. Step 4: Simplify right side
    50,154x = 1,923,969,630.96
  5. Step 5: Solve for x
    x = 1,923,969,630.96/50,154
  6. Step 6: Final answer
    x = 38,361.24

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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.