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Finding the Fourth Proportional to 50,218.38, 69,300.72 and 28,997.16

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Solution

The fourth proportional to 50,218.38, 69,300.72 and 28,997.16 is: 40,015.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,218.38 : 69,300.72 = 28,997.16 : x
  2. Step 2: Convert to fraction form
    50,218.38/69,300.72 = 28,997.16/x
  3. Step 3: Cross multiply
    50,218.38x = 69,300.72 × 28,997.16
  4. Step 4: Simplify right side
    50,218.38x = 2,009,524,065.96
  5. Step 5: Solve for x
    x = 2,009,524,065.96/50,218.38
  6. Step 6: Final answer
    x = 40,015.71

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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.