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Finding the Fourth Proportional to 41,209.40, 61,787.10 and 16,234.40

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Solution

The fourth proportional to 41,209.40, 61,787.10 and 16,234.40 is: 24,340.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,209.40 : 61,787.10 = 16,234.40 : x
  2. Step 2: Convert to fraction form
    41,209.40/61,787.10 = 16,234.40/x
  3. Step 3: Cross multiply
    41,209.40x = 61,787.10 × 16,234.40
  4. Step 4: Simplify right side
    41,209.40x = 1,003,076,496.24
  5. Step 5: Solve for x
    x = 1,003,076,496.24/41,209.40
  6. Step 6: Final answer
    x = 24,340.96

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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.