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Finding the Fourth Proportional to 50,507.40, 69,700.68 and 27,847.18

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Solution

The fourth proportional to 50,507.40, 69,700.68 and 27,847.18 is: 38,429.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,507.40 : 69,700.68 = 27,847.18 : x
  2. Step 2: Convert to fraction form
    50,507.40/69,700.68 = 27,847.18/x
  3. Step 3: Cross multiply
    50,507.40x = 69,700.68 × 27,847.18
  4. Step 4: Simplify right side
    50,507.40x = 1,940,967,382.08
  5. Step 5: Solve for x
    x = 1,940,967,382.08/50,507.40
  6. Step 6: Final answer
    x = 38,429.37

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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.