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Finding the Fourth Proportional to 33,114.50, 49,671.87 and 31,453.46

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Solution

The fourth proportional to 33,114.50, 49,671.87 and 31,453.46 is: 47,180.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,114.50 : 49,671.87 = 31,453.46 : x
  2. Step 2: Convert to fraction form
    33,114.50/49,671.87 = 31,453.46/x
  3. Step 3: Cross multiply
    33,114.50x = 49,671.87 × 31,453.46
  4. Step 4: Simplify right side
    33,114.50x = 1,562,352,176.17
  5. Step 5: Solve for x
    x = 1,562,352,176.17/33,114.50
  6. Step 6: Final answer
    x = 47,180.30

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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.