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Finding the Fourth Proportional to 31,760.36, 43,831.52 and 17,614.52

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Solution

The fourth proportional to 31,760.36, 43,831.52 and 17,614.52 is: 24,309.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,760.36 : 43,831.52 = 17,614.52 : x
  2. Step 2: Convert to fraction form
    31,760.36/43,831.52 = 17,614.52/x
  3. Step 3: Cross multiply
    31,760.36x = 43,831.52 × 17,614.52
  4. Step 4: Simplify right side
    31,760.36x = 772,071,185.67
  5. Step 5: Solve for x
    x = 772,071,185.67/31,760.36
  6. Step 6: Final answer
    x = 24,309.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.