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Finding the Fourth Proportional to 85,467.42, 117,946.32 and 47,227.86

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Solution

The fourth proportional to 85,467.42, 117,946.32 and 47,227.86 is: 65,175.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,467.42 : 117,946.32 = 47,227.86 : x
  2. Step 2: Convert to fraction form
    85,467.42/117,946.32 = 47,227.86/x
  3. Step 3: Cross multiply
    85,467.42x = 117,946.32 × 47,227.86
  4. Step 4: Simplify right side
    85,467.42x = 5,570,352,288.48
  5. Step 5: Solve for x
    x = 5,570,352,288.48/85,467.42
  6. Step 6: Final answer
    x = 65,175.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.