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Finding the Fourth Proportional to 57,588.28, 86,382.42 and 32,947

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Solution

The fourth proportional to 57,588.28, 86,382.42 and 32,947 is: 49,420.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,588.28 : 86,382.42 = 32,947 : x
  2. Step 2: Convert to fraction form
    57,588.28/86,382.42 = 32,947/x
  3. Step 3: Cross multiply
    57,588.28x = 86,382.42 × 32,947
  4. Step 4: Simplify right side
    57,588.28x = 2,846,041,591.74
  5. Step 5: Solve for x
    x = 2,846,041,591.74/57,588.28
  6. Step 6: Final answer
    x = 49,420.50

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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.