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Finding the Fourth Proportional to 87,164.94, 120,283.82 and 48,400.36

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Solution

The fourth proportional to 87,164.94, 120,283.82 and 48,400.36 is: 66,790.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,164.94 : 120,283.82 = 48,400.36 : x
  2. Step 2: Convert to fraction form
    87,164.94/120,283.82 = 48,400.36/x
  3. Step 3: Cross multiply
    87,164.94x = 120,283.82 × 48,400.36
  4. Step 4: Simplify right side
    87,164.94x = 5,821,780,190.18
  5. Step 5: Solve for x
    x = 5,821,780,190.18/87,164.94
  6. Step 6: Final answer
    x = 66,790.39

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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.