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Finding the Fourth Proportional to 57,782.67, 86,675.15 and 26,186.90

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Solution

The fourth proportional to 57,782.67, 86,675.15 and 26,186.90 is: 39,280.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,782.67 : 86,675.15 = 26,186.90 : x
  2. Step 2: Convert to fraction form
    57,782.67/86,675.15 = 26,186.90/x
  3. Step 3: Cross multiply
    57,782.67x = 86,675.15 × 26,186.90
  4. Step 4: Simplify right side
    57,782.67x = 2,269,753,117.63
  5. Step 5: Solve for x
    x = 2,269,753,117.63/57,782.67
  6. Step 6: Final answer
    x = 39,280.86

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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.