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Finding the Fourth Proportional to 50,654.88, 75,979.44 and 13,716

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Solution

The fourth proportional to 50,654.88, 75,979.44 and 13,716 is: 20,573.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,654.88 : 75,979.44 = 13,716 : x
  2. Step 2: Convert to fraction form
    50,654.88/75,979.44 = 13,716/x
  3. Step 3: Cross multiply
    50,654.88x = 75,979.44 × 13,716
  4. Step 4: Simplify right side
    50,654.88x = 1,042,133,999.04
  5. Step 5: Solve for x
    x = 1,042,133,999.04/50,654.88
  6. Step 6: Final answer
    x = 20,573.22

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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.