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Finding the Fourth Proportional to 27,761.30, 41,646.06 and 8,037.40

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Solution

The fourth proportional to 27,761.30, 41,646.06 and 8,037.40 is: 12,057.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,761.30 : 41,646.06 = 8,037.40 : x
  2. Step 2: Convert to fraction form
    27,761.30/41,646.06 = 8,037.40/x
  3. Step 3: Cross multiply
    27,761.30x = 41,646.06 × 8,037.40
  4. Step 4: Simplify right side
    27,761.30x = 334,726,042.64
  5. Step 5: Solve for x
    x = 334,726,042.64/27,761.30
  6. Step 6: Final answer
    x = 12,057.29

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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.