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Finding the Fourth Proportional to 31,120.54, 42,950.21 and 19,018.54

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Solution

The fourth proportional to 31,120.54, 42,950.21 and 19,018.54 is: 26,247.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,120.54 : 42,950.21 = 19,018.54 : x
  2. Step 2: Convert to fraction form
    31,120.54/42,950.21 = 19,018.54/x
  3. Step 3: Cross multiply
    31,120.54x = 42,950.21 × 19,018.54
  4. Step 4: Simplify right side
    31,120.54x = 816,850,286.89
  5. Step 5: Solve for x
    x = 816,850,286.89/31,120.54
  6. Step 6: Final answer
    x = 26,247.95

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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.