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Finding the Fourth Proportional to 26,500.48, 39,756.48 and 8,032

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Solution

The fourth proportional to 26,500.48, 39,756.48 and 8,032 is: 12,049.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,500.48 : 39,756.48 = 8,032 : x
  2. Step 2: Convert to fraction form
    26,500.48/39,756.48 = 8,032/x
  3. Step 3: Cross multiply
    26,500.48x = 39,756.48 × 8,032
  4. Step 4: Simplify right side
    26,500.48x = 319,324,047.36
  5. Step 5: Solve for x
    x = 319,324,047.36/26,500.48
  6. Step 6: Final answer
    x = 12,049.75

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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.