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Finding the Fourth Proportional to 52,101.57, 71,902.96 and 29,441.52

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Solution

The fourth proportional to 52,101.57, 71,902.96 and 29,441.52 is: 40,630.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,101.57 : 71,902.96 = 29,441.52 : x
  2. Step 2: Convert to fraction form
    52,101.57/71,902.96 = 29,441.52/x
  3. Step 3: Cross multiply
    52,101.57x = 71,902.96 × 29,441.52
  4. Step 4: Simplify right side
    52,101.57x = 2,116,932,075.38
  5. Step 5: Solve for x
    x = 2,116,932,075.38/52,101.57
  6. Step 6: Final answer
    x = 40,630.87

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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.