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Finding the Fourth Proportional to 53,765.76, 80,480 and 33,976

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Solution

The fourth proportional to 53,765.76, 80,480 and 33,976 is: 50,857.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,765.76 : 80,480 = 33,976 : x
  2. Step 2: Convert to fraction form
    53,765.76/80,480 = 33,976/x
  3. Step 3: Cross multiply
    53,765.76x = 80,480 × 33,976
  4. Step 4: Simplify right side
    53,765.76x = 2,734,388,480
  5. Step 5: Solve for x
    x = 2,734,388,480/53,765.76
  6. Step 6: Final answer
    x = 50,857.43

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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.