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Finding the Fourth Proportional to 50,206, 69,287.52 and 27,850

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Solution

The fourth proportional to 50,206, 69,287.52 and 27,850 is: 38,434.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,206 : 69,287.52 = 27,850 : x
  2. Step 2: Convert to fraction form
    50,206/69,287.52 = 27,850/x
  3. Step 3: Cross multiply
    50,206x = 69,287.52 × 27,850
  4. Step 4: Simplify right side
    50,206x = 1,929,657,432
  5. Step 5: Solve for x
    x = 1,929,657,432/50,206
  6. Step 6: Final answer
    x = 38,434.80

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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.