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Finding the Fourth Proportional to 75,954.25, 104,825.77 and 45,754.82

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Solution

The fourth proportional to 75,954.25, 104,825.77 and 45,754.82 is: 63,147.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,954.25 : 104,825.77 = 45,754.82 : x
  2. Step 2: Convert to fraction form
    75,954.25/104,825.77 = 45,754.82/x
  3. Step 3: Cross multiply
    75,954.25x = 104,825.77 × 45,754.82
  4. Step 4: Simplify right side
    75,954.25x = 4,796,283,599.20
  5. Step 5: Solve for x
    x = 4,796,283,599.20/75,954.25
  6. Step 6: Final answer
    x = 63,147.01

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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.