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Finding the Fourth Proportional to 50,506.92, 69,700.02 and 27,846.74

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Solution

The fourth proportional to 50,506.92, 69,700.02 and 27,846.74 is: 38,428.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,506.92 : 69,700.02 = 27,846.74 : x
  2. Step 2: Convert to fraction form
    50,506.92/69,700.02 = 27,846.74/x
  3. Step 3: Cross multiply
    50,506.92x = 69,700.02 × 27,846.74
  4. Step 4: Simplify right side
    50,506.92x = 1,940,917,986.43
  5. Step 5: Solve for x
    x = 1,940,917,986.43/50,506.92
  6. Step 6: Final answer
    x = 38,428.75

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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.