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Finding the Fourth Proportional to 57,169.10, 78,893.19 and 32,969.96

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Solution

The fourth proportional to 57,169.10, 78,893.19 and 32,969.96 is: 45,498.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,169.10 : 78,893.19 = 32,969.96 : x
  2. Step 2: Convert to fraction form
    57,169.10/78,893.19 = 32,969.96/x
  3. Step 3: Cross multiply
    57,169.10x = 78,893.19 × 32,969.96
  4. Step 4: Simplify right side
    57,169.10x = 2,601,105,318.57
  5. Step 5: Solve for x
    x = 2,601,105,318.57/57,169.10
  6. Step 6: Final answer
    x = 45,498.45

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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.