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Finding the Fourth Proportional to 40,684.68, 56,138.31 and 22,780.44

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Solution

The fourth proportional to 40,684.68, 56,138.31 and 22,780.44 is: 31,433.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,684.68 : 56,138.31 = 22,780.44 : x
  2. Step 2: Convert to fraction form
    40,684.68/56,138.31 = 22,780.44/x
  3. Step 3: Cross multiply
    40,684.68x = 56,138.31 × 22,780.44
  4. Step 4: Simplify right side
    40,684.68x = 1,278,855,402.66
  5. Step 5: Solve for x
    x = 1,278,855,402.66/40,684.68
  6. Step 6: Final answer
    x = 31,433.34

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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.