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Finding the Fourth Proportional to 57,194.64, 85,725.64 and 33,840.72

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Solution

The fourth proportional to 57,194.64, 85,725.64 and 33,840.72 is: 50,721.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,194.64 : 85,725.64 = 33,840.72 : x
  2. Step 2: Convert to fraction form
    57,194.64/85,725.64 = 33,840.72/x
  3. Step 3: Cross multiply
    57,194.64x = 85,725.64 × 33,840.72
  4. Step 4: Simplify right side
    57,194.64x = 2,901,017,380.06
  5. Step 5: Solve for x
    x = 2,901,017,380.06/57,194.64
  6. Step 6: Final answer
    x = 50,721.84

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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.