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Finding the Fourth Proportional to 33,214.96, 49,809.48 and 14,500.72

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Solution

The fourth proportional to 33,214.96, 49,809.48 and 14,500.72 is: 21,745.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,214.96 : 49,809.48 = 14,500.72 : x
  2. Step 2: Convert to fraction form
    33,214.96/49,809.48 = 14,500.72/x
  3. Step 3: Cross multiply
    33,214.96x = 49,809.48 × 14,500.72
  4. Step 4: Simplify right side
    33,214.96x = 722,273,322.83
  5. Step 5: Solve for x
    x = 722,273,322.83/33,214.96
  6. Step 6: Final answer
    x = 21,745.42

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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.