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Finding the Fourth Proportional to 27,652.30, 41,478.61 and 6,875.80

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Solution

The fourth proportional to 27,652.30, 41,478.61 and 6,875.80 is: 10,313.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,652.30 : 41,478.61 = 6,875.80 : x
  2. Step 2: Convert to fraction form
    27,652.30/41,478.61 = 6,875.80/x
  3. Step 3: Cross multiply
    27,652.30x = 41,478.61 × 6,875.80
  4. Step 4: Simplify right side
    27,652.30x = 285,198,488.56
  5. Step 5: Solve for x
    x = 285,198,488.56/27,652.30
  6. Step 6: Final answer
    x = 10,313.74

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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.