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Finding the Fourth Proportional to 50,087, 69,122.22 and 27,731

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Solution

The fourth proportional to 50,087, 69,122.22 and 27,731 is: 38,269.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,087 : 69,122.22 = 27,731 : x
  2. Step 2: Convert to fraction form
    50,087/69,122.22 = 27,731/x
  3. Step 3: Cross multiply
    50,087x = 69,122.22 × 27,731
  4. Step 4: Simplify right side
    50,087x = 1,916,828,282.82
  5. Step 5: Solve for x
    x = 1,916,828,282.82/50,087
  6. Step 6: Final answer
    x = 38,269.98

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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.