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Finding the Fourth Proportional to 104,382.80, 156,600.12 and 48,914

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Solution

The fourth proportional to 104,382.80, 156,600.12 and 48,914 is: 73,383.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,382.80 : 156,600.12 = 48,914 : x
  2. Step 2: Convert to fraction form
    104,382.80/156,600.12 = 48,914/x
  3. Step 3: Cross multiply
    104,382.80x = 156,600.12 × 48,914
  4. Step 4: Simplify right side
    104,382.80x = 7,659,938,269.68
  5. Step 5: Solve for x
    x = 7,659,938,269.68/104,382.80
  6. Step 6: Final answer
    x = 73,383.15

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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.