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Finding the Fourth Proportional to 33,564.78, 50,327.55 and 13,821.06

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Solution

The fourth proportional to 33,564.78, 50,327.55 and 13,821.06 is: 20,723.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,564.78 : 50,327.55 = 13,821.06 : x
  2. Step 2: Convert to fraction form
    33,564.78/50,327.55 = 13,821.06/x
  3. Step 3: Cross multiply
    33,564.78x = 50,327.55 × 13,821.06
  4. Step 4: Simplify right side
    33,564.78x = 695,580,088.20
  5. Step 5: Solve for x
    x = 695,580,088.20/33,564.78
  6. Step 6: Final answer
    x = 20,723.51

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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.