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Finding the Fourth Proportional to 50,548.64, 75,832.67 and 19,381.46

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Solution

The fourth proportional to 50,548.64, 75,832.67 and 19,381.46 is: 29,075.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,548.64 : 75,832.67 = 19,381.46 : x
  2. Step 2: Convert to fraction form
    50,548.64/75,832.67 = 19,381.46/x
  3. Step 3: Cross multiply
    50,548.64x = 75,832.67 × 19,381.46
  4. Step 4: Simplify right side
    50,548.64x = 1,469,747,456.91
  5. Step 5: Solve for x
    x = 1,469,747,456.91/50,548.64
  6. Step 6: Final answer
    x = 29,075.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.