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Finding the Fourth Proportional to 50,231, 69,320.94 and 27,875

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Solution

The fourth proportional to 50,231, 69,320.94 and 27,875 is: 38,468.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,231 : 69,320.94 = 27,875 : x
  2. Step 2: Convert to fraction form
    50,231/69,320.94 = 27,875/x
  3. Step 3: Cross multiply
    50,231x = 69,320.94 × 27,875
  4. Step 4: Simplify right side
    50,231x = 1,932,321,202.50
  5. Step 5: Solve for x
    x = 1,932,321,202.50/50,231
  6. Step 6: Final answer
    x = 38,468.70

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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.