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Finding the Fourth Proportional to 31,310.45, 46,854.81 and 19,469.80

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Solution

The fourth proportional to 31,310.45, 46,854.81 and 19,469.80 is: 29,135.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,310.45 : 46,854.81 = 19,469.80 : x
  2. Step 2: Convert to fraction form
    31,310.45/46,854.81 = 19,469.80/x
  3. Step 3: Cross multiply
    31,310.45x = 46,854.81 × 19,469.80
  4. Step 4: Simplify right side
    31,310.45x = 912,253,779.74
  5. Step 5: Solve for x
    x = 912,253,779.74/31,310.45
  6. Step 6: Final answer
    x = 29,135.76

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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.