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Finding the Fourth Proportional to 61,912.71, 85,509.81 and 41,734.80

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Solution

The fourth proportional to 61,912.71, 85,509.81 and 41,734.80 is: 57,641.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,912.71 : 85,509.81 = 41,734.80 : x
  2. Step 2: Convert to fraction form
    61,912.71/85,509.81 = 41,734.80/x
  3. Step 3: Cross multiply
    61,912.71x = 85,509.81 × 41,734.80
  4. Step 4: Simplify right side
    61,912.71x = 3,568,734,818.39
  5. Step 5: Solve for x
    x = 3,568,734,818.39/61,912.71
  6. Step 6: Final answer
    x = 57,641.39

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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.