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Finding the Fourth Proportional to 31,029.80, 46,546.20 and 8,844.71

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Solution

The fourth proportional to 31,029.80, 46,546.20 and 8,844.71 is: 13,267.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,029.80 : 46,546.20 = 8,844.71 : x
  2. Step 2: Convert to fraction form
    31,029.80/46,546.20 = 8,844.71/x
  3. Step 3: Cross multiply
    31,029.80x = 46,546.20 × 8,844.71
  4. Step 4: Simplify right side
    31,029.80x = 411,687,407.87
  5. Step 5: Solve for x
    x = 411,687,407.87/31,029.80
  6. Step 6: Final answer
    x = 13,267.49

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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.