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Finding the Fourth Proportional to 50,071, 69,100.14 and 27,715

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Solution

The fourth proportional to 50,071, 69,100.14 and 27,715 is: 38,247.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,071 : 69,100.14 = 27,715 : x
  2. Step 2: Convert to fraction form
    50,071/69,100.14 = 27,715/x
  3. Step 3: Cross multiply
    50,071x = 69,100.14 × 27,715
  4. Step 4: Simplify right side
    50,071x = 1,915,110,380.10
  5. Step 5: Solve for x
    x = 1,915,110,380.10/50,071
  6. Step 6: Final answer
    x = 38,247.90

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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.