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Finding the Fourth Proportional to 33,091.57, 49,645.50 and 16,459.48

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Solution

The fourth proportional to 33,091.57, 49,645.50 and 16,459.48 is: 24,693.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,091.57 : 49,645.50 = 16,459.48 : x
  2. Step 2: Convert to fraction form
    33,091.57/49,645.50 = 16,459.48/x
  3. Step 3: Cross multiply
    33,091.57x = 49,645.50 × 16,459.48
  4. Step 4: Simplify right side
    33,091.57x = 817,139,114.34
  5. Step 5: Solve for x
    x = 817,139,114.34/33,091.57
  6. Step 6: Final answer
    x = 24,693.27

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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.