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Finding the Fourth Proportional to 33,562.89, 50,350.32 and 13,830.66

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Solution

The fourth proportional to 33,562.89, 50,350.32 and 13,830.66 is: 20,748.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,562.89 : 50,350.32 = 13,830.66 : x
  2. Step 2: Convert to fraction form
    33,562.89/50,350.32 = 13,830.66/x
  3. Step 3: Cross multiply
    33,562.89x = 50,350.32 × 13,830.66
  4. Step 4: Simplify right side
    33,562.89x = 696,378,156.81
  5. Step 5: Solve for x
    x = 696,378,156.81/33,562.89
  6. Step 6: Final answer
    x = 20,748.46

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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.