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Finding the Fourth Proportional to 31,012.96, 46,519.46 and 13,473.22

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Solution

The fourth proportional to 31,012.96, 46,519.46 and 13,473.22 is: 20,209.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,012.96 : 46,519.46 = 13,473.22 : x
  2. Step 2: Convert to fraction form
    31,012.96/46,519.46 = 13,473.22/x
  3. Step 3: Cross multiply
    31,012.96x = 46,519.46 × 13,473.22
  4. Step 4: Simplify right side
    31,012.96x = 626,766,918.86
  5. Step 5: Solve for x
    x = 626,766,918.86/31,012.96
  6. Step 6: Final answer
    x = 20,209.84

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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.