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Finding the Fourth Proportional to 50,507.20, 69,697.12 and 27,846.16

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Solution

The fourth proportional to 50,507.20, 69,697.12 and 27,846.16 is: 38,426.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,507.20 : 69,697.12 = 27,846.16 : x
  2. Step 2: Convert to fraction form
    50,507.20/69,697.12 = 27,846.16/x
  3. Step 3: Cross multiply
    50,507.20x = 69,697.12 × 27,846.16
  4. Step 4: Simplify right side
    50,507.20x = 1,940,797,155.06
  5. Step 5: Solve for x
    x = 1,940,797,155.06/50,507.20
  6. Step 6: Final answer
    x = 38,426.15

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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.