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Finding the Fourth Proportional to 50,652.73, 69,897.26 and 27,991.50

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Solution

The fourth proportional to 50,652.73, 69,897.26 and 27,991.50 is: 38,626.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,652.73 : 69,897.26 = 27,991.50 : x
  2. Step 2: Convert to fraction form
    50,652.73/69,897.26 = 27,991.50/x
  3. Step 3: Cross multiply
    50,652.73x = 69,897.26 × 27,991.50
  4. Step 4: Simplify right side
    50,652.73x = 1,956,529,223.27
  5. Step 5: Solve for x
    x = 1,956,529,223.27/50,652.73
  6. Step 6: Final answer
    x = 38,626.34

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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.