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Finding the Fourth Proportional to 75,993.96, 104,921.82 and 47,355.20

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Solution

The fourth proportional to 75,993.96, 104,921.82 and 47,355.20 is: 65,381.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,993.96 : 104,921.82 = 47,355.20 : x
  2. Step 2: Convert to fraction form
    75,993.96/104,921.82 = 47,355.20/x
  3. Step 3: Cross multiply
    75,993.96x = 104,921.82 × 47,355.20
  4. Step 4: Simplify right side
    75,993.96x = 4,968,593,770.46
  5. Step 5: Solve for x
    x = 4,968,593,770.46/75,993.96
  6. Step 6: Final answer
    x = 65,381.43

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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.