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Finding the Fourth Proportional to 31,115.54, 42,878.06 and 22,137.90

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Solution

The fourth proportional to 31,115.54, 42,878.06 and 22,137.90 is: 30,506.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,115.54 : 42,878.06 = 22,137.90 : x
  2. Step 2: Convert to fraction form
    31,115.54/42,878.06 = 22,137.90/x
  3. Step 3: Cross multiply
    31,115.54x = 42,878.06 × 22,137.90
  4. Step 4: Simplify right side
    31,115.54x = 949,230,204.47
  5. Step 5: Solve for x
    x = 949,230,204.47/31,115.54
  6. Step 6: Final answer
    x = 30,506.63

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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.