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Finding the Fourth Proportional to 38,511.54, 57,755.55 and 16,324.50

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Solution

The fourth proportional to 38,511.54, 57,755.55 and 16,324.50 is: 24,481.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,511.54 : 57,755.55 = 16,324.50 : x
  2. Step 2: Convert to fraction form
    38,511.54/57,755.55 = 16,324.50/x
  3. Step 3: Cross multiply
    38,511.54x = 57,755.55 × 16,324.50
  4. Step 4: Simplify right side
    38,511.54x = 942,830,475.98
  5. Step 5: Solve for x
    x = 942,830,475.98/38,511.54
  6. Step 6: Final answer
    x = 24,481.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.