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Finding the Fourth Proportional to 31,015.38, 46,486 and 11,270.82

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Solution

The fourth proportional to 31,015.38, 46,486 and 11,270.82 is: 16,892.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,015.38 : 46,486 = 11,270.82 : x
  2. Step 2: Convert to fraction form
    31,015.38/46,486 = 11,270.82/x
  3. Step 3: Cross multiply
    31,015.38x = 46,486 × 11,270.82
  4. Step 4: Simplify right side
    31,015.38x = 523,935,338.52
  5. Step 5: Solve for x
    x = 523,935,338.52/31,015.38
  6. Step 6: Final answer
    x = 16,892.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.