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Finding the Fourth Proportional to 75,627.74, 113,452.14 and 33,504.50

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Solution

The fourth proportional to 75,627.74, 113,452.14 and 33,504.50 is: 50,261.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,627.74 : 113,452.14 = 33,504.50 : x
  2. Step 2: Convert to fraction form
    75,627.74/113,452.14 = 33,504.50/x
  3. Step 3: Cross multiply
    75,627.74x = 113,452.14 × 33,504.50
  4. Step 4: Simplify right side
    75,627.74x = 3,801,157,224.63
  5. Step 5: Solve for x
    x = 3,801,157,224.63/75,627.74
  6. Step 6: Final answer
    x = 50,261.41

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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.