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Finding the Fourth Proportional to 61,709.25, 85,158.81 and 33,414.96

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Solution

The fourth proportional to 61,709.25, 85,158.81 and 33,414.96 is: 46,112.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,709.25 : 85,158.81 = 33,414.96 : x
  2. Step 2: Convert to fraction form
    61,709.25/85,158.81 = 33,414.96/x
  3. Step 3: Cross multiply
    61,709.25x = 85,158.81 × 33,414.96
  4. Step 4: Simplify right side
    61,709.25x = 2,845,578,229.80
  5. Step 5: Solve for x
    x = 2,845,578,229.80/61,709.25
  6. Step 6: Final answer
    x = 46,112.67

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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.