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Finding the Fourth Proportional to 66,508.65, 91,778.26 and 37,824.44

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Solution

The fourth proportional to 66,508.65, 91,778.26 and 37,824.44 is: 52,195.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,508.65 : 91,778.26 = 37,824.44 : x
  2. Step 2: Convert to fraction form
    66,508.65/91,778.26 = 37,824.44/x
  3. Step 3: Cross multiply
    66,508.65x = 91,778.26 × 37,824.44
  4. Step 4: Simplify right side
    66,508.65x = 3,471,460,829.78
  5. Step 5: Solve for x
    x = 3,471,460,829.78/66,508.65
  6. Step 6: Final answer
    x = 52,195.63

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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.