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Finding the Fourth Proportional to 38,992.24, 53,813.46 and 23,894.92

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Solution

The fourth proportional to 38,992.24, 53,813.46 and 23,894.92 is: 32,977.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,992.24 : 53,813.46 = 23,894.92 : x
  2. Step 2: Convert to fraction form
    38,992.24/53,813.46 = 23,894.92/x
  3. Step 3: Cross multiply
    38,992.24x = 53,813.46 × 23,894.92
  4. Step 4: Simplify right side
    38,992.24x = 1,285,868,321.62
  5. Step 5: Solve for x
    x = 1,285,868,321.62/38,992.24
  6. Step 6: Final answer
    x = 32,977.54

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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.