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Finding the Fourth Proportional to 57,155.80, 78,874.62 and 32,003.80

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Solution

The fourth proportional to 57,155.80, 78,874.62 and 32,003.80 is: 44,165.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,155.80 : 78,874.62 = 32,003.80 : x
  2. Step 2: Convert to fraction form
    57,155.80/78,874.62 = 32,003.80/x
  3. Step 3: Cross multiply
    57,155.80x = 78,874.62 × 32,003.80
  4. Step 4: Simplify right side
    57,155.80x = 2,524,287,563.56
  5. Step 5: Solve for x
    x = 2,524,287,563.56/57,155.80
  6. Step 6: Final answer
    x = 44,165.03

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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.