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Finding the Fourth Proportional to 41,205.87, 56,864.45 and 22,343

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Solution

The fourth proportional to 41,205.87, 56,864.45 and 22,343 is: 30,833.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,205.87 : 56,864.45 = 22,343 : x
  2. Step 2: Convert to fraction form
    41,205.87/56,864.45 = 22,343/x
  3. Step 3: Cross multiply
    41,205.87x = 56,864.45 × 22,343
  4. Step 4: Simplify right side
    41,205.87x = 1,270,522,406.35
  5. Step 5: Solve for x
    x = 1,270,522,406.35/41,205.87
  6. Step 6: Final answer
    x = 30,833.53

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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.