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Finding the Fourth Proportional to 31,464.70, 43,416.32 and 18,033.38

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Solution

The fourth proportional to 31,464.70, 43,416.32 and 18,033.38 is: 24,883.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,464.70 : 43,416.32 = 18,033.38 : x
  2. Step 2: Convert to fraction form
    31,464.70/43,416.32 = 18,033.38/x
  3. Step 3: Cross multiply
    31,464.70x = 43,416.32 × 18,033.38
  4. Step 4: Simplify right side
    31,464.70x = 782,942,996.76
  5. Step 5: Solve for x
    x = 782,942,996.76/31,464.70
  6. Step 6: Final answer
    x = 24,883.22

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Why These Related Problems?

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