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Finding the Fourth Proportional to 50,051, 69,072.54 and 27,695

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Solution

The fourth proportional to 50,051, 69,072.54 and 27,695 is: 38,220.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,051 : 69,072.54 = 27,695 : x
  2. Step 2: Convert to fraction form
    50,051/69,072.54 = 27,695/x
  3. Step 3: Cross multiply
    50,051x = 69,072.54 × 27,695
  4. Step 4: Simplify right side
    50,051x = 1,912,963,995.30
  5. Step 5: Solve for x
    x = 1,912,963,995.30/50,051
  6. Step 6: Final answer
    x = 38,220.30

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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.