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Finding the Fourth Proportional to 56,797.72, 78,380.85 and 32,938.23

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Solution

The fourth proportional to 56,797.72, 78,380.85 and 32,938.23 is: 45,454.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,797.72 : 78,380.85 = 32,938.23 : x
  2. Step 2: Convert to fraction form
    56,797.72/78,380.85 = 32,938.23/x
  3. Step 3: Cross multiply
    56,797.72x = 78,380.85 × 32,938.23
  4. Step 4: Simplify right side
    56,797.72x = 2,581,726,464.90
  5. Step 5: Solve for x
    x = 2,581,726,464.90/56,797.72
  6. Step 6: Final answer
    x = 45,454.76

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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.