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Finding the Fourth Proportional to 57,586.28, 86,379.42 and 32,945

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Solution

The fourth proportional to 57,586.28, 86,379.42 and 32,945 is: 49,417.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,586.28 : 86,379.42 = 32,945 : x
  2. Step 2: Convert to fraction form
    57,586.28/86,379.42 = 32,945/x
  3. Step 3: Cross multiply
    57,586.28x = 86,379.42 × 32,945
  4. Step 4: Simplify right side
    57,586.28x = 2,845,769,991.90
  5. Step 5: Solve for x
    x = 2,845,769,991.90/57,586.28
  6. Step 6: Final answer
    x = 49,417.50

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1.5x scale

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.