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Finding the Fourth Proportional to 27,472.50, 37,884.24 and 22,420.44

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Solution

The fourth proportional to 27,472.50, 37,884.24 and 22,420.44 is: 30,917.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,472.50 : 37,884.24 = 22,420.44 : x
  2. Step 2: Convert to fraction form
    27,472.50/37,884.24 = 22,420.44/x
  3. Step 3: Cross multiply
    27,472.50x = 37,884.24 × 22,420.44
  4. Step 4: Simplify right side
    27,472.50x = 849,381,329.87
  5. Step 5: Solve for x
    x = 849,381,329.87/27,472.50
  6. Step 6: Final answer
    x = 30,917.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.