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Finding the Fourth Proportional to 31,008.87, 46,513.20 and 8,519.57

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Solution

The fourth proportional to 31,008.87, 46,513.20 and 8,519.57 is: 12,779.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,008.87 : 46,513.20 = 8,519.57 : x
  2. Step 2: Convert to fraction form
    31,008.87/46,513.20 = 8,519.57/x
  3. Step 3: Cross multiply
    31,008.87x = 46,513.20 × 8,519.57
  4. Step 4: Simplify right side
    31,008.87x = 396,272,230.76
  5. Step 5: Solve for x
    x = 396,272,230.76/31,008.87
  6. Step 6: Final answer
    x = 12,779.32

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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.