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Finding the Fourth Proportional to 31,565.44, 43,744.48 and 31,120

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Solution

The fourth proportional to 31,565.44, 43,744.48 and 31,120 is: 43,127.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,565.44 : 43,744.48 = 31,120 : x
  2. Step 2: Convert to fraction form
    31,565.44/43,744.48 = 31,120/x
  3. Step 3: Cross multiply
    31,565.44x = 43,744.48 × 31,120
  4. Step 4: Simplify right side
    31,565.44x = 1,361,328,217.60
  5. Step 5: Solve for x
    x = 1,361,328,217.60/31,565.44
  6. Step 6: Final answer
    x = 43,127.17

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.