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Finding the Fourth Proportional to 50,501.74, 69,692.62 and 27,840.21

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Solution

The fourth proportional to 50,501.74, 69,692.62 and 27,840.21 is: 38,419.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,501.74 : 69,692.62 = 27,840.21 : x
  2. Step 2: Convert to fraction form
    50,501.74/69,692.62 = 27,840.21/x
  3. Step 3: Cross multiply
    50,501.74x = 69,692.62 × 27,840.21
  4. Step 4: Simplify right side
    50,501.74x = 1,940,257,176.25
  5. Step 5: Solve for x
    x = 1,940,257,176.25/50,501.74
  6. Step 6: Final answer
    x = 38,419.61

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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.