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Finding the Fourth Proportional to 33,577.96, 50,359.74 and 13,851.40

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Solution

The fourth proportional to 33,577.96, 50,359.74 and 13,851.40 is: 20,774.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,577.96 : 50,359.74 = 13,851.40 : x
  2. Step 2: Convert to fraction form
    33,577.96/50,359.74 = 13,851.40/x
  3. Step 3: Cross multiply
    33,577.96x = 50,359.74 × 13,851.40
  4. Step 4: Simplify right side
    33,577.96x = 697,552,902.64
  5. Step 5: Solve for x
    x = 697,552,902.64/33,577.96
  6. Step 6: Final answer
    x = 20,774.13

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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.