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Finding the Fourth Proportional to 57,299.48, 85,947.32 and 23,564.33

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Solution

The fourth proportional to 57,299.48, 85,947.32 and 23,564.33 is: 35,345.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,299.48 : 85,947.32 = 23,564.33 : x
  2. Step 2: Convert to fraction form
    57,299.48/85,947.32 = 23,564.33/x
  3. Step 3: Cross multiply
    57,299.48x = 85,947.32 × 23,564.33
  4. Step 4: Simplify right side
    57,299.48x = 2,025,290,463.54
  5. Step 5: Solve for x
    x = 2,025,290,463.54/57,299.48
  6. Step 6: Final answer
    x = 35,345.71

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