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Finding the Fourth Proportional to 27,683.20, 41,524.80 and 26,152.30

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Solution

The fourth proportional to 27,683.20, 41,524.80 and 26,152.30 is: 39,228.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,683.20 : 41,524.80 = 26,152.30 : x
  2. Step 2: Convert to fraction form
    27,683.20/41,524.80 = 26,152.30/x
  3. Step 3: Cross multiply
    27,683.20x = 41,524.80 × 26,152.30
  4. Step 4: Simplify right side
    27,683.20x = 1,085,969,027.04
  5. Step 5: Solve for x
    x = 1,085,969,027.04/27,683.20
  6. Step 6: Final answer
    x = 39,228.45

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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.