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Finding the Fourth Proportional to 40,278.47, 55,583.82 and 22,375.44

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Solution

The fourth proportional to 40,278.47, 55,583.82 and 22,375.44 is: 30,877.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,278.47 : 55,583.82 = 22,375.44 : x
  2. Step 2: Convert to fraction form
    40,278.47/55,583.82 = 22,375.44/x
  3. Step 3: Cross multiply
    40,278.47x = 55,583.82 × 22,375.44
  4. Step 4: Simplify right side
    40,278.47x = 1,243,712,429.38
  5. Step 5: Solve for x
    x = 1,243,712,429.38/40,278.47
  6. Step 6: Final answer
    x = 30,877.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.