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Finding the Fourth Proportional to 66,468.41, 91,731.84 and 37,797.05

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Solution

The fourth proportional to 66,468.41, 91,731.84 and 37,797.05 is: 52,163.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,468.41 : 91,731.84 = 37,797.05 : x
  2. Step 2: Convert to fraction form
    66,468.41/91,731.84 = 37,797.05/x
  3. Step 3: Cross multiply
    66,468.41x = 91,731.84 × 37,797.05
  4. Step 4: Simplify right side
    66,468.41x = 3,467,192,943.07
  5. Step 5: Solve for x
    x = 3,467,192,943.07/66,468.41
  6. Step 6: Final answer
    x = 52,163.02

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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.