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Finding the Fourth Proportional to 41,447.32, 62,196.90 and 16,823.32

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Solution

The fourth proportional to 41,447.32, 62,196.90 and 16,823.32 is: 25,245.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,447.32 : 62,196.90 = 16,823.32 : x
  2. Step 2: Convert to fraction form
    41,447.32/62,196.90 = 16,823.32/x
  3. Step 3: Cross multiply
    41,447.32x = 62,196.90 × 16,823.32
  4. Step 4: Simplify right side
    41,447.32x = 1,046,358,351.71
  5. Step 5: Solve for x
    x = 1,046,358,351.71/41,447.32
  6. Step 6: Final answer
    x = 25,245.50

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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.