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Finding the Fourth Proportional to 57,169.12, 78,893.04 and 32,018.64

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Solution

The fourth proportional to 57,169.12, 78,893.04 and 32,018.64 is: 44,185.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,169.12 : 78,893.04 = 32,018.64 : x
  2. Step 2: Convert to fraction form
    57,169.12/78,893.04 = 32,018.64/x
  3. Step 3: Cross multiply
    57,169.12x = 78,893.04 × 32,018.64
  4. Step 4: Simplify right side
    57,169.12x = 2,526,047,846.27
  5. Step 5: Solve for x
    x = 2,526,047,846.27/57,169.12
  6. Step 6: Final answer
    x = 44,185.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.