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Finding the Fourth Proportional to 31,471.70, 47,217.47 and 14,831.06

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Solution

The fourth proportional to 31,471.70, 47,217.47 and 14,831.06 is: 22,251.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,471.70 : 47,217.47 = 14,831.06 : x
  2. Step 2: Convert to fraction form
    31,471.70/47,217.47 = 14,831.06/x
  3. Step 3: Cross multiply
    31,471.70x = 47,217.47 × 14,831.06
  4. Step 4: Simplify right side
    31,471.70x = 700,284,820.38
  5. Step 5: Solve for x
    x = 700,284,820.38/31,471.70
  6. Step 6: Final answer
    x = 22,251.26

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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.