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Finding the Fourth Proportional to 31,477.38, 43,434.28 and 18,049.20

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Solution

The fourth proportional to 31,477.38, 43,434.28 and 18,049.20 is: 24,905.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,477.38 : 43,434.28 = 18,049.20 : x
  2. Step 2: Convert to fraction form
    31,477.38/43,434.28 = 18,049.20/x
  3. Step 3: Cross multiply
    31,477.38x = 43,434.28 × 18,049.20
  4. Step 4: Simplify right side
    31,477.38x = 783,954,006.58
  5. Step 5: Solve for x
    x = 783,954,006.58/31,477.38
  6. Step 6: Final answer
    x = 24,905.31

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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.