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Finding the Fourth Proportional to 31,472.87, 43,438.38 and 18,044.21

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Solution

The fourth proportional to 31,472.87, 43,438.38 and 18,044.21 is: 24,904.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,472.87 : 43,438.38 = 18,044.21 : x
  2. Step 2: Convert to fraction form
    31,472.87/43,438.38 = 18,044.21/x
  3. Step 3: Cross multiply
    31,472.87x = 43,438.38 × 18,044.21
  4. Step 4: Simplify right side
    31,472.87x = 783,811,291.71
  5. Step 5: Solve for x
    x = 783,811,291.71/31,472.87
  6. Step 6: Final answer
    x = 24,904.35

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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.