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Finding the Fourth Proportional to 85,653.64, 128,517.21 and 33,100.03

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Solution

The fourth proportional to 85,653.64, 128,517.21 and 33,100.03 is: 49,664.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,653.64 : 128,517.21 = 33,100.03 : x
  2. Step 2: Convert to fraction form
    85,653.64/128,517.21 = 33,100.03/x
  3. Step 3: Cross multiply
    85,653.64x = 128,517.21 × 33,100.03
  4. Step 4: Simplify right side
    85,653.64x = 4,253,923,506.52
  5. Step 5: Solve for x
    x = 4,253,923,506.52/85,653.64
  6. Step 6: Final answer
    x = 49,664.25

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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.