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Finding the Fourth Proportional to 57,509.56, 86,285.75 and 25,910.14

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Solution

The fourth proportional to 57,509.56, 86,285.75 and 25,910.14 is: 38,874.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,509.56 : 86,285.75 = 25,910.14 : x
  2. Step 2: Convert to fraction form
    57,509.56/86,285.75 = 25,910.14/x
  3. Step 3: Cross multiply
    57,509.56x = 86,285.75 × 25,910.14
  4. Step 4: Simplify right side
    57,509.56x = 2,235,675,862.51
  5. Step 5: Solve for x
    x = 2,235,675,862.51/57,509.56
  6. Step 6: Final answer
    x = 38,874.86

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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.