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Finding the Fourth Proportional to 82,021.92, 122,937.30 and 37,653.36

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Solution

The fourth proportional to 82,021.92, 122,937.30 and 37,653.36 is: 56,436.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,021.92 : 122,937.30 = 37,653.36 : x
  2. Step 2: Convert to fraction form
    82,021.92/122,937.30 = 37,653.36/x
  3. Step 3: Cross multiply
    82,021.92x = 122,937.30 × 37,653.36
  4. Step 4: Simplify right side
    82,021.92x = 4,629,002,414.33
  5. Step 5: Solve for x
    x = 4,629,002,414.33/82,021.92
  6. Step 6: Final answer
    x = 56,436.16

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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.