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Finding the Fourth Proportional to 51,671.57, 71,310.60 and 29,015.46

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Solution

The fourth proportional to 51,671.57, 71,310.60 and 29,015.46 is: 40,043.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,671.57 : 71,310.60 = 29,015.46 : x
  2. Step 2: Convert to fraction form
    51,671.57/71,310.60 = 29,015.46/x
  3. Step 3: Cross multiply
    51,671.57x = 71,310.60 × 29,015.46
  4. Step 4: Simplify right side
    51,671.57x = 2,069,109,861.88
  5. Step 5: Solve for x
    x = 2,069,109,861.88/51,671.57
  6. Step 6: Final answer
    x = 40,043.49

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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.