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Finding the Fourth Proportional to 31,227.08, 46,807.80 and 19,380.82

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Solution

The fourth proportional to 31,227.08, 46,807.80 and 19,380.82 is: 29,050.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,227.08 : 46,807.80 = 19,380.82 : x
  2. Step 2: Convert to fraction form
    31,227.08/46,807.80 = 19,380.82/x
  3. Step 3: Cross multiply
    31,227.08x = 46,807.80 × 19,380.82
  4. Step 4: Simplify right side
    31,227.08x = 907,173,546.40
  5. Step 5: Solve for x
    x = 907,173,546.40/31,227.08
  6. Step 6: Final answer
    x = 29,050.86

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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.