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Finding the Fourth Proportional to 52,202.17, 72,107.67 and 40,028.78

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Solution

The fourth proportional to 52,202.17, 72,107.67 and 40,028.78 is: 55,292.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,202.17 : 72,107.67 = 40,028.78 : x
  2. Step 2: Convert to fraction form
    52,202.17/72,107.67 = 40,028.78/x
  3. Step 3: Cross multiply
    52,202.17x = 72,107.67 × 40,028.78
  4. Step 4: Simplify right side
    52,202.17x = 2,886,382,163.96
  5. Step 5: Solve for x
    x = 2,886,382,163.96/52,202.17
  6. Step 6: Final answer
    x = 55,292.38

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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.