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Finding the Fourth Proportional to 74,241.75, 111,309.72 and 34,777.34

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Solution

The fourth proportional to 74,241.75, 111,309.72 and 34,777.34 is: 52,141.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,241.75 : 111,309.72 = 34,777.34 : x
  2. Step 2: Convert to fraction form
    74,241.75/111,309.72 = 34,777.34/x
  3. Step 3: Cross multiply
    74,241.75x = 111,309.72 × 34,777.34
  4. Step 4: Simplify right side
    74,241.75x = 3,871,055,977.74
  5. Step 5: Solve for x
    x = 3,871,055,977.74/74,241.75
  6. Step 6: Final answer
    x = 52,141.23

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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.