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Finding the Fourth Proportional to 66,853.80, 100,264.26 and 27,422.19

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Solution

The fourth proportional to 66,853.80, 100,264.26 and 27,422.19 is: 41,126.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,853.80 : 100,264.26 = 27,422.19 : x
  2. Step 2: Convert to fraction form
    66,853.80/100,264.26 = 27,422.19/x
  3. Step 3: Cross multiply
    66,853.80x = 100,264.26 × 27,422.19
  4. Step 4: Simplify right side
    66,853.80x = 2,749,465,587.93
  5. Step 5: Solve for x
    x = 2,749,465,587.93/66,853.80
  6. Step 6: Final answer
    x = 41,126.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.