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Finding the Fourth Proportional to 33,856.86, 50,779.50 and 10,157.94

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Solution

The fourth proportional to 33,856.86, 50,779.50 and 10,157.94 is: 15,235.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,856.86 : 50,779.50 = 10,157.94 : x
  2. Step 2: Convert to fraction form
    33,856.86/50,779.50 = 10,157.94/x
  3. Step 3: Cross multiply
    33,856.86x = 50,779.50 × 10,157.94
  4. Step 4: Simplify right side
    33,856.86x = 515,815,114.23
  5. Step 5: Solve for x
    x = 515,815,114.23/33,856.86
  6. Step 6: Final answer
    x = 15,235.17

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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.