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Finding the Fourth Proportional to 50,227, 69,316.50 and 27,871

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Solution

The fourth proportional to 50,227, 69,316.50 and 27,871 is: 38,463.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,227 : 69,316.50 = 27,871 : x
  2. Step 2: Convert to fraction form
    50,227/69,316.50 = 27,871/x
  3. Step 3: Cross multiply
    50,227x = 69,316.50 × 27,871
  4. Step 4: Simplify right side
    50,227x = 1,931,920,171.50
  5. Step 5: Solve for x
    x = 1,931,920,171.50/50,227
  6. Step 6: Final answer
    x = 38,463.78

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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.