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Finding the Fourth Proportional to 41,205.76, 56,873.36 and 24,212

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Solution

The fourth proportional to 41,205.76, 56,873.36 and 24,212 is: 33,418.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,205.76 : 56,873.36 = 24,212 : x
  2. Step 2: Convert to fraction form
    41,205.76/56,873.36 = 24,212/x
  3. Step 3: Cross multiply
    41,205.76x = 56,873.36 × 24,212
  4. Step 4: Simplify right side
    41,205.76x = 1,377,017,792.32
  5. Step 5: Solve for x
    x = 1,377,017,792.32/41,205.76
  6. Step 6: Final answer
    x = 33,418.09

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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.