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Finding the Fourth Proportional to 40,490.78, 55,878.38 and 22,589.28

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Solution

The fourth proportional to 40,490.78, 55,878.38 and 22,589.28 is: 31,173.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,490.78 : 55,878.38 = 22,589.28 : x
  2. Step 2: Convert to fraction form
    40,490.78/55,878.38 = 22,589.28/x
  3. Step 3: Cross multiply
    40,490.78x = 55,878.38 × 22,589.28
  4. Step 4: Simplify right side
    40,490.78x = 1,262,252,371.77
  5. Step 5: Solve for x
    x = 1,262,252,371.77/40,490.78
  6. Step 6: Final answer
    x = 31,173.82

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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.