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Finding the Fourth Proportional to 66,447.72, 91,696.14 and 36,233.10

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Solution

The fourth proportional to 66,447.72, 91,696.14 and 36,233.10 is: 50,000.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,447.72 : 91,696.14 = 36,233.10 : x
  2. Step 2: Convert to fraction form
    66,447.72/91,696.14 = 36,233.10/x
  3. Step 3: Cross multiply
    66,447.72x = 91,696.14 × 36,233.10
  4. Step 4: Simplify right side
    66,447.72x = 3,322,435,410.23
  5. Step 5: Solve for x
    x = 3,322,435,410.23/66,447.72
  6. Step 6: Final answer
    x = 50,000.74

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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.