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Finding the Fourth Proportional to 33,543.72, 50,321.66 and 13,811.51

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Solution

The fourth proportional to 33,543.72, 50,321.66 and 13,811.51 is: 20,719.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,543.72 : 50,321.66 = 13,811.51 : x
  2. Step 2: Convert to fraction form
    33,543.72/50,321.66 = 13,811.51/x
  3. Step 3: Cross multiply
    33,543.72x = 50,321.66 × 13,811.51
  4. Step 4: Simplify right side
    33,543.72x = 695,018,167.05
  5. Step 5: Solve for x
    x = 695,018,167.05/33,543.72
  6. Step 6: Final answer
    x = 20,719.77

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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.