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Finding the Fourth Proportional to 57,748.68, 79,692.57 and 33,870.83

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Solution

The fourth proportional to 57,748.68, 79,692.57 and 33,870.83 is: 46,741.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,748.68 : 79,692.57 = 33,870.83 : x
  2. Step 2: Convert to fraction form
    57,748.68/79,692.57 = 33,870.83/x
  3. Step 3: Cross multiply
    57,748.68x = 79,692.57 × 33,870.83
  4. Step 4: Simplify right side
    57,748.68x = 2,699,253,092.27
  5. Step 5: Solve for x
    x = 2,699,253,092.27/57,748.68
  6. Step 6: Final answer
    x = 46,741.38

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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.