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Finding the Fourth Proportional to 33,905.10, 50,713.65 and 30,420.30

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Solution

The fourth proportional to 33,905.10, 50,713.65 and 30,420.30 is: 45,501.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,905.10 : 50,713.65 = 30,420.30 : x
  2. Step 2: Convert to fraction form
    33,905.10/50,713.65 = 30,420.30/x
  3. Step 3: Cross multiply
    33,905.10x = 50,713.65 × 30,420.30
  4. Step 4: Simplify right side
    33,905.10x = 1,542,724,447.10
  5. Step 5: Solve for x
    x = 1,542,724,447.10/33,905.10
  6. Step 6: Final answer
    x = 45,501.25

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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.