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Finding the Fourth Proportional to 31,435.38, 43,380.81 and 18,007.02

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Solution

The fourth proportional to 31,435.38, 43,380.81 and 18,007.02 is: 24,849.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,435.38 : 43,380.81 = 18,007.02 : x
  2. Step 2: Convert to fraction form
    31,435.38/43,380.81 = 18,007.02/x
  3. Step 3: Cross multiply
    31,435.38x = 43,380.81 × 18,007.02
  4. Step 4: Simplify right side
    31,435.38x = 781,159,113.29
  5. Step 5: Solve for x
    x = 781,159,113.29/31,435.38
  6. Step 6: Final answer
    x = 24,849.68

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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.