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Finding the Fourth Proportional to 50,503.68, 69,692.31 and 27,842.67

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Solution

The fourth proportional to 50,503.68, 69,692.31 and 27,842.67 is: 38,421.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,503.68 : 69,692.31 = 27,842.67 : x
  2. Step 2: Convert to fraction form
    50,503.68/69,692.31 = 27,842.67/x
  3. Step 3: Cross multiply
    50,503.68x = 69,692.31 × 27,842.67
  4. Step 4: Simplify right side
    50,503.68x = 1,940,419,988.87
  5. Step 5: Solve for x
    x = 1,940,419,988.87/50,503.68
  6. Step 6: Final answer
    x = 38,421.36

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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.