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Finding the Fourth Proportional to 27,047.24, 40,511.52 and 22,314

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Solution

The fourth proportional to 27,047.24, 40,511.52 and 22,314 is: 33,422.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,047.24 : 40,511.52 = 22,314 : x
  2. Step 2: Convert to fraction form
    27,047.24/40,511.52 = 22,314/x
  3. Step 3: Cross multiply
    27,047.24x = 40,511.52 × 22,314
  4. Step 4: Simplify right side
    27,047.24x = 903,974,057.28
  5. Step 5: Solve for x
    x = 903,974,057.28/27,047.24
  6. Step 6: Final answer
    x = 33,422.04

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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.