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Finding the Fourth Proportional to 57,208.32, 85,809.06 and 33,982.56

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Solution

The fourth proportional to 57,208.32, 85,809.06 and 33,982.56 is: 50,971.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,208.32 : 85,809.06 = 33,982.56 : x
  2. Step 2: Convert to fraction form
    57,208.32/85,809.06 = 33,982.56/x
  3. Step 3: Cross multiply
    57,208.32x = 85,809.06 × 33,982.56
  4. Step 4: Simplify right side
    57,208.32x = 2,916,011,529.99
  5. Step 5: Solve for x
    x = 2,916,011,529.99/57,208.32
  6. Step 6: Final answer
    x = 50,971.81

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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.