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Finding the Fourth Proportional to 41,219.92, 56,883.84 and 22,357

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Solution

The fourth proportional to 41,219.92, 56,883.84 and 22,357 is: 30,852.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,219.92 : 56,883.84 = 22,357 : x
  2. Step 2: Convert to fraction form
    41,219.92/56,883.84 = 22,357/x
  3. Step 3: Cross multiply
    41,219.92x = 56,883.84 × 22,357
  4. Step 4: Simplify right side
    41,219.92x = 1,271,752,010.88
  5. Step 5: Solve for x
    x = 1,271,752,010.88/41,219.92
  6. Step 6: Final answer
    x = 30,852.85

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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.