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Finding the Fourth Proportional to 85,846.56, 118,468.25 and 47,611.94

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Solution

The fourth proportional to 85,846.56, 118,468.25 and 47,611.94 is: 65,704.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,846.56 : 118,468.25 = 47,611.94 : x
  2. Step 2: Convert to fraction form
    85,846.56/118,468.25 = 47,611.94/x
  3. Step 3: Cross multiply
    85,846.56x = 118,468.25 × 47,611.94
  4. Step 4: Simplify right side
    85,846.56x = 5,640,502,924.93
  5. Step 5: Solve for x
    x = 5,640,502,924.93/85,846.56
  6. Step 6: Final answer
    x = 65,704.47

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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.