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Finding the Fourth Proportional to 75,503.99, 104,192.85 and 41,512.22

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Solution

The fourth proportional to 75,503.99, 104,192.85 and 41,512.22 is: 57,285.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,503.99 : 104,192.85 = 41,512.22 : x
  2. Step 2: Convert to fraction form
    75,503.99/104,192.85 = 41,512.22/x
  3. Step 3: Cross multiply
    75,503.99x = 104,192.85 × 41,512.22
  4. Step 4: Simplify right side
    75,503.99x = 4,325,275,783.10
  5. Step 5: Solve for x
    x = 4,325,275,783.10/75,503.99
  6. Step 6: Final answer
    x = 57,285.39

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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.