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Finding the Fourth Proportional to 38,487.87, 57,692.25 and 24,458.22

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Solution

The fourth proportional to 38,487.87, 57,692.25 and 24,458.22 is: 36,662.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,487.87 : 57,692.25 = 24,458.22 : x
  2. Step 2: Convert to fraction form
    38,487.87/57,692.25 = 24,458.22/x
  3. Step 3: Cross multiply
    38,487.87x = 57,692.25 × 24,458.22
  4. Step 4: Simplify right side
    38,487.87x = 1,411,049,742.80
  5. Step 5: Solve for x
    x = 1,411,049,742.80/38,487.87
  6. Step 6: Final answer
    x = 36,662.19

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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.