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Finding the Fourth Proportional to 33,652.24, 50,485.72 and 10,278.08

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Solution

The fourth proportional to 33,652.24, 50,485.72 and 10,278.08 is: 15,419.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,652.24 : 50,485.72 = 10,278.08 : x
  2. Step 2: Convert to fraction form
    33,652.24/50,485.72 = 10,278.08/x
  3. Step 3: Cross multiply
    33,652.24x = 50,485.72 × 10,278.08
  4. Step 4: Simplify right side
    33,652.24x = 518,896,269.02
  5. Step 5: Solve for x
    x = 518,896,269.02/33,652.24
  6. Step 6: Final answer
    x = 15,419.37

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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.