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Finding the Fourth Proportional to 31,349.15, 47,039.84 and 20,826.44

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Solution

The fourth proportional to 31,349.15, 47,039.84 and 20,826.44 is: 31,250.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,349.15 : 47,039.84 = 20,826.44 : x
  2. Step 2: Convert to fraction form
    31,349.15/47,039.84 = 20,826.44/x
  3. Step 3: Cross multiply
    31,349.15x = 47,039.84 × 20,826.44
  4. Step 4: Simplify right side
    31,349.15x = 979,672,066.04
  5. Step 5: Solve for x
    x = 979,672,066.04/31,349.15
  6. Step 6: Final answer
    x = 31,250.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.