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Finding the Fourth Proportional to 85,266.62, 117,667.94 and 47,540.88

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Solution

The fourth proportional to 85,266.62, 117,667.94 and 47,540.88 is: 65,606.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,266.62 : 117,667.94 = 47,540.88 : x
  2. Step 2: Convert to fraction form
    85,266.62/117,667.94 = 47,540.88/x
  3. Step 3: Cross multiply
    85,266.62x = 117,667.94 × 47,540.88
  4. Step 4: Simplify right side
    85,266.62x = 5,594,037,415.39
  5. Step 5: Solve for x
    x = 5,594,037,415.39/85,266.62
  6. Step 6: Final answer
    x = 65,606.42

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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.