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Finding the Fourth Proportional to 47,434.88, 71,152.32 and 33,336.96

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Solution

The fourth proportional to 47,434.88, 71,152.32 and 33,336.96 is: 50,005.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,434.88 : 71,152.32 = 33,336.96 : x
  2. Step 2: Convert to fraction form
    47,434.88/71,152.32 = 33,336.96/x
  3. Step 3: Cross multiply
    47,434.88x = 71,152.32 × 33,336.96
  4. Step 4: Simplify right side
    47,434.88x = 2,372,002,045.75
  5. Step 5: Solve for x
    x = 2,372,002,045.75/47,434.88
  6. Step 6: Final answer
    x = 50,005.44

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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.