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Finding the Fourth Proportional to 50,640.42, 69,877.81 and 27,978.06

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Solution

The fourth proportional to 50,640.42, 69,877.81 and 27,978.06 is: 38,606.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,640.42 : 69,877.81 = 27,978.06 : x
  2. Step 2: Convert to fraction form
    50,640.42/69,877.81 = 27,978.06/x
  3. Step 3: Cross multiply
    50,640.42x = 69,877.81 × 27,978.06
  4. Step 4: Simplify right side
    50,640.42x = 1,955,045,560.85
  5. Step 5: Solve for x
    x = 1,955,045,560.85/50,640.42
  6. Step 6: Final answer
    x = 38,606.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.