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Finding the Fourth Proportional to 85,209.50, 117,544.38 and 65,031.24

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Solution

The fourth proportional to 85,209.50, 117,544.38 and 65,031.24 is: 89,708.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,209.50 : 117,544.38 = 65,031.24 : x
  2. Step 2: Convert to fraction form
    85,209.50/117,544.38 = 65,031.24/x
  3. Step 3: Cross multiply
    85,209.50x = 117,544.38 × 65,031.24
  4. Step 4: Simplify right side
    85,209.50x = 7,644,056,786.43
  5. Step 5: Solve for x
    x = 7,644,056,786.43/85,209.50
  6. Step 6: Final answer
    x = 89,708.97

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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.