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Finding the Fourth Proportional to 57,798.54, 86,692.92 and 22,738.14

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Solution

The fourth proportional to 57,798.54, 86,692.92 and 22,738.14 is: 34,105.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,798.54 : 86,692.92 = 22,738.14 : x
  2. Step 2: Convert to fraction form
    57,798.54/86,692.92 = 22,738.14/x
  3. Step 3: Cross multiply
    57,798.54x = 86,692.92 × 22,738.14
  4. Step 4: Simplify right side
    57,798.54x = 1,971,235,751.97
  5. Step 5: Solve for x
    x = 1,971,235,751.97/57,798.54
  6. Step 6: Final answer
    x = 34,105.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.