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Finding the Fourth Proportional to 57,582.50, 86,381.03 and 22,517.60

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Solution

The fourth proportional to 57,582.50, 86,381.03 and 22,517.60 is: 33,779.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,582.50 : 86,381.03 = 22,517.60 : x
  2. Step 2: Convert to fraction form
    57,582.50/86,381.03 = 22,517.60/x
  3. Step 3: Cross multiply
    57,582.50x = 86,381.03 × 22,517.60
  4. Step 4: Simplify right side
    57,582.50x = 1,945,093,105.52
  5. Step 5: Solve for x
    x = 1,945,093,105.52/57,582.50
  6. Step 6: Final answer
    x = 33,779.24

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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.