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Finding the Fourth Proportional to 37,640.50, 56,482.62 and 16,864

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Solution

The fourth proportional to 37,640.50, 56,482.62 and 16,864 is: 25,305.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,640.50 : 56,482.62 = 16,864 : x
  2. Step 2: Convert to fraction form
    37,640.50/56,482.62 = 16,864/x
  3. Step 3: Cross multiply
    37,640.50x = 56,482.62 × 16,864
  4. Step 4: Simplify right side
    37,640.50x = 952,522,903.68
  5. Step 5: Solve for x
    x = 952,522,903.68/37,640.50
  6. Step 6: Final answer
    x = 25,305.80

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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.