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Finding the Fourth Proportional to 57,047.80, 85,544.70 and 33,362.20

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Solution

The fourth proportional to 57,047.80, 85,544.70 and 33,362.20 is: 50,027.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,047.80 : 85,544.70 = 33,362.20 : x
  2. Step 2: Convert to fraction form
    57,047.80/85,544.70 = 33,362.20/x
  3. Step 3: Cross multiply
    57,047.80x = 85,544.70 × 33,362.20
  4. Step 4: Simplify right side
    57,047.80x = 2,853,959,390.34
  5. Step 5: Solve for x
    x = 2,853,959,390.34/57,047.80
  6. Step 6: Final answer
    x = 50,027.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.