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Finding the Fourth Proportional to 31,433.70, 47,131.10 and 14,797.92

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Solution

The fourth proportional to 31,433.70, 47,131.10 and 14,797.92 is: 22,187.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,433.70 : 47,131.10 = 14,797.92 : x
  2. Step 2: Convert to fraction form
    31,433.70/47,131.10 = 14,797.92/x
  3. Step 3: Cross multiply
    31,433.70x = 47,131.10 × 14,797.92
  4. Step 4: Simplify right side
    31,433.70x = 697,442,247.31
  5. Step 5: Solve for x
    x = 697,442,247.31/31,433.70
  6. Step 6: Final answer
    x = 22,187.72

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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.