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Finding the Fourth Proportional to 47,951.96, 71,879.44 and 19,833.16

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Solution

The fourth proportional to 47,951.96, 71,879.44 and 19,833.16 is: 29,729.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,951.96 : 71,879.44 = 19,833.16 : x
  2. Step 2: Convert to fraction form
    47,951.96/71,879.44 = 19,833.16/x
  3. Step 3: Cross multiply
    47,951.96x = 71,879.44 × 19,833.16
  4. Step 4: Simplify right side
    47,951.96x = 1,425,596,434.23
  5. Step 5: Solve for x
    x = 1,425,596,434.23/47,951.96
  6. Step 6: Final answer
    x = 29,729.68

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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.