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Finding the Fourth Proportional to 75,892.50, 113,883.42 and 33,774.54

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Solution

The fourth proportional to 75,892.50, 113,883.42 and 33,774.54 is: 50,681.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,892.50 : 113,883.42 = 33,774.54 : x
  2. Step 2: Convert to fraction form
    75,892.50/113,883.42 = 33,774.54/x
  3. Step 3: Cross multiply
    75,892.50x = 113,883.42 × 33,774.54
  4. Step 4: Simplify right side
    75,892.50x = 3,846,360,124.13
  5. Step 5: Solve for x
    x = 3,846,360,124.13/75,892.50
  6. Step 6: Final answer
    x = 50,681.69

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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.