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Finding the Fourth Proportional to 57,187.94, 85,840.02 and 27,630.64

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Solution

The fourth proportional to 57,187.94, 85,840.02 and 27,630.64 is: 41,474.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,187.94 : 85,840.02 = 27,630.64 : x
  2. Step 2: Convert to fraction form
    57,187.94/85,840.02 = 27,630.64/x
  3. Step 3: Cross multiply
    57,187.94x = 85,840.02 × 27,630.64
  4. Step 4: Simplify right side
    57,187.94x = 2,371,814,690.21
  5. Step 5: Solve for x
    x = 2,371,814,690.21/57,187.94
  6. Step 6: Final answer
    x = 41,474.04

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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.