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Finding the Fourth Proportional to 34,014.20, 50,764.07 and 33,128.46

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Solution

The fourth proportional to 34,014.20, 50,764.07 and 33,128.46 is: 49,442.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,014.20 : 50,764.07 = 33,128.46 : x
  2. Step 2: Convert to fraction form
    34,014.20/50,764.07 = 33,128.46/x
  3. Step 3: Cross multiply
    34,014.20x = 50,764.07 × 33,128.46
  4. Step 4: Simplify right side
    34,014.20x = 1,681,735,462.43
  5. Step 5: Solve for x
    x = 1,681,735,462.43/34,014.20
  6. Step 6: Final answer
    x = 49,442.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.