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Finding the Fourth Proportional to 87,823.92, 131,742 and 35,233.36

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Solution

The fourth proportional to 87,823.92, 131,742 and 35,233.36 is: 52,852.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,823.92 : 131,742 = 35,233.36 : x
  2. Step 2: Convert to fraction form
    87,823.92/131,742 = 35,233.36/x
  3. Step 3: Cross multiply
    87,823.92x = 131,742 × 35,233.36
  4. Step 4: Simplify right side
    87,823.92x = 4,641,713,313.12
  5. Step 5: Solve for x
    x = 4,641,713,313.12/87,823.92
  6. Step 6: Final answer
    x = 52,852.50

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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.