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Finding the Fourth Proportional to 47,747.60, 71,621.60 and 16,157.91

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Solution

The fourth proportional to 47,747.60, 71,621.60 and 16,157.91 is: 24,236.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,747.60 : 71,621.60 = 16,157.91 : x
  2. Step 2: Convert to fraction form
    47,747.60/71,621.60 = 16,157.91/x
  3. Step 3: Cross multiply
    47,747.60x = 71,621.60 × 16,157.91
  4. Step 4: Simplify right side
    47,747.60x = 1,157,255,286.07
  5. Step 5: Solve for x
    x = 1,157,255,286.07/47,747.60
  6. Step 6: Final answer
    x = 24,236.93

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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.