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Finding the Fourth Proportional to 50,862.92, 70,190 and 27,892.66

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Solution

The fourth proportional to 50,862.92, 70,190 and 27,892.66 is: 38,491.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,862.92 : 70,190 = 27,892.66 : x
  2. Step 2: Convert to fraction form
    50,862.92/70,190 = 27,892.66/x
  3. Step 3: Cross multiply
    50,862.92x = 70,190 × 27,892.66
  4. Step 4: Simplify right side
    50,862.92x = 1,957,785,805.40
  5. Step 5: Solve for x
    x = 1,957,785,805.40/50,862.92
  6. Step 6: Final answer
    x = 38,491.42

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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.