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Finding the Fourth Proportional to 31,448.15, 47,172.22 and 7,755.65

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Solution

The fourth proportional to 31,448.15, 47,172.22 and 7,755.65 is: 11,633.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,448.15 : 47,172.22 = 7,755.65 : x
  2. Step 2: Convert to fraction form
    31,448.15/47,172.22 = 7,755.65/x
  3. Step 3: Cross multiply
    31,448.15x = 47,172.22 × 7,755.65
  4. Step 4: Simplify right side
    31,448.15x = 365,851,193.31
  5. Step 5: Solve for x
    x = 365,851,193.31/31,448.15
  6. Step 6: Final answer
    x = 11,633.47

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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.