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Finding the Fourth Proportional to 50,157, 69,216.78 and 27,801

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Solution

The fourth proportional to 50,157, 69,216.78 and 27,801 is: 38,365.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,157 : 69,216.78 = 27,801 : x
  2. Step 2: Convert to fraction form
    50,157/69,216.78 = 27,801/x
  3. Step 3: Cross multiply
    50,157x = 69,216.78 × 27,801
  4. Step 4: Simplify right side
    50,157x = 1,924,295,700.78
  5. Step 5: Solve for x
    x = 1,924,295,700.78/50,157
  6. Step 6: Final answer
    x = 38,365.45

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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.