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Finding the Fourth Proportional to 31,831.36, 47,711.04 and 16,216

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Solution

The fourth proportional to 31,831.36, 47,711.04 and 16,216 is: 24,305.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,831.36 : 47,711.04 = 16,216 : x
  2. Step 2: Convert to fraction form
    31,831.36/47,711.04 = 16,216/x
  3. Step 3: Cross multiply
    31,831.36x = 47,711.04 × 16,216
  4. Step 4: Simplify right side
    31,831.36x = 773,682,224.64
  5. Step 5: Solve for x
    x = 773,682,224.64/31,831.36
  6. Step 6: Final answer
    x = 24,305.66

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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.