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Finding the Fourth Proportional to 57,969.82, 86,947.46 and 18,523.66

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Solution

The fourth proportional to 57,969.82, 86,947.46 and 18,523.66 is: 27,783.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,969.82 : 86,947.46 = 18,523.66 : x
  2. Step 2: Convert to fraction form
    57,969.82/86,947.46 = 18,523.66/x
  3. Step 3: Cross multiply
    57,969.82x = 86,947.46 × 18,523.66
  4. Step 4: Simplify right side
    57,969.82x = 1,610,585,186.90
  5. Step 5: Solve for x
    x = 1,610,585,186.90/57,969.82
  6. Step 6: Final answer
    x = 27,783.17

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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.