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Finding the Fourth Proportional to 75,954.56, 104,826.20 and 45,755.13

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Solution

The fourth proportional to 75,954.56, 104,826.20 and 45,755.13 is: 63,147.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,954.56 : 104,826.20 = 45,755.13 : x
  2. Step 2: Convert to fraction form
    75,954.56/104,826.20 = 45,755.13/x
  3. Step 3: Cross multiply
    75,954.56x = 104,826.20 × 45,755.13
  4. Step 4: Simplify right side
    75,954.56x = 4,796,336,408.41
  5. Step 5: Solve for x
    x = 4,796,336,408.41/75,954.56
  6. Step 6: Final answer
    x = 63,147.45

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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.