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Finding the Fourth Proportional to 27,614.84, 41,442.96 and 20,238.08

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Solution

The fourth proportional to 27,614.84, 41,442.96 and 20,238.08 is: 30,372.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,614.84 : 41,442.96 = 20,238.08 : x
  2. Step 2: Convert to fraction form
    27,614.84/41,442.96 = 20,238.08/x
  3. Step 3: Cross multiply
    27,614.84x = 41,442.96 × 20,238.08
  4. Step 4: Simplify right side
    27,614.84x = 838,725,939.92
  5. Step 5: Solve for x
    x = 838,725,939.92/27,614.84
  6. Step 6: Final answer
    x = 30,372.29

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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.