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Finding the Fourth Proportional to 60,155.82, 83,012.34 and 33,296.43

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Solution

The fourth proportional to 60,155.82, 83,012.34 and 33,296.43 is: 45,947.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,155.82 : 83,012.34 = 33,296.43 : x
  2. Step 2: Convert to fraction form
    60,155.82/83,012.34 = 33,296.43/x
  3. Step 3: Cross multiply
    60,155.82x = 83,012.34 × 33,296.43
  4. Step 4: Simplify right side
    60,155.82x = 2,764,014,567.95
  5. Step 5: Solve for x
    x = 2,764,014,567.95/60,155.82
  6. Step 6: Final answer
    x = 45,947.58

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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.