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Finding the Fourth Proportional to 66,514.66, 91,786.54 and 37,830.44

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Solution

The fourth proportional to 66,514.66, 91,786.54 and 37,830.44 is: 52,203.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,514.66 : 91,786.54 = 37,830.44 : x
  2. Step 2: Convert to fraction form
    66,514.66/91,786.54 = 37,830.44/x
  3. Step 3: Cross multiply
    66,514.66x = 91,786.54 × 37,830.44
  4. Step 4: Simplify right side
    66,514.66x = 3,472,325,194.28
  5. Step 5: Solve for x
    x = 3,472,325,194.28/66,514.66
  6. Step 6: Final answer
    x = 52,203.91

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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.