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Finding the Fourth Proportional to 66,845.76, 100,268.63 and 16,244.50

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Solution

The fourth proportional to 66,845.76, 100,268.63 and 16,244.50 is: 24,366.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,845.76 : 100,268.63 = 16,244.50 : x
  2. Step 2: Convert to fraction form
    66,845.76/100,268.63 = 16,244.50/x
  3. Step 3: Cross multiply
    66,845.76x = 100,268.63 × 16,244.50
  4. Step 4: Simplify right side
    66,845.76x = 1,628,813,760.04
  5. Step 5: Solve for x
    x = 1,628,813,760.04/66,845.76
  6. Step 6: Final answer
    x = 24,366.75

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Why These Related Problems?

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