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Finding the Fourth Proportional to 50,144.82, 75,221 and 16,864.98

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Solution

The fourth proportional to 50,144.82, 75,221 and 16,864.98 is: 25,298.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,144.82 : 75,221 = 16,864.98 : x
  2. Step 2: Convert to fraction form
    50,144.82/75,221 = 16,864.98/x
  3. Step 3: Cross multiply
    50,144.82x = 75,221 × 16,864.98
  4. Step 4: Simplify right side
    50,144.82x = 1,268,600,660.58
  5. Step 5: Solve for x
    x = 1,268,600,660.58/50,144.82
  6. Step 6: Final answer
    x = 25,298.74

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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.