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Finding the Fourth Proportional to 50,068, 69,093.84 and 27,712

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Solution

The fourth proportional to 50,068, 69,093.84 and 27,712 is: 38,242.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,068 : 69,093.84 = 27,712 : x
  2. Step 2: Convert to fraction form
    50,068/69,093.84 = 27,712/x
  3. Step 3: Cross multiply
    50,068x = 69,093.84 × 27,712
  4. Step 4: Simplify right side
    50,068x = 1,914,728,494.08
  5. Step 5: Solve for x
    x = 1,914,728,494.08/50,068
  6. Step 6: Final answer
    x = 38,242.56

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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.