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Finding the Fourth Proportional to 33,444.86, 50,174.68 and 11,257.50

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Solution

The fourth proportional to 33,444.86, 50,174.68 and 11,257.50 is: 16,888.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,444.86 : 50,174.68 = 11,257.50 : x
  2. Step 2: Convert to fraction form
    33,444.86/50,174.68 = 11,257.50/x
  3. Step 3: Cross multiply
    33,444.86x = 50,174.68 × 11,257.50
  4. Step 4: Simplify right side
    33,444.86x = 564,841,431.96
  5. Step 5: Solve for x
    x = 564,841,431.96/33,444.86
  6. Step 6: Final answer
    x = 16,888.74

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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.