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Finding the Fourth Proportional to 66,797.07, 100,206.50 and 31,724.88

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Solution

The fourth proportional to 66,797.07, 100,206.50 and 31,724.88 is: 47,592.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,797.07 : 100,206.50 = 31,724.88 : x
  2. Step 2: Convert to fraction form
    66,797.07/100,206.50 = 31,724.88/x
  3. Step 3: Cross multiply
    66,797.07x = 100,206.50 × 31,724.88
  4. Step 4: Simplify right side
    66,797.07x = 3,179,039,029.10
  5. Step 5: Solve for x
    x = 3,179,039,029.10/66,797.07
  6. Step 6: Final answer
    x = 47,592.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.