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Finding the Fourth Proportional to 56,744.72, 78,357.24 and 35,560.40

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Solution

The fourth proportional to 56,744.72, 78,357.24 and 35,560.40 is: 49,104.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,744.72 : 78,357.24 = 35,560.40 : x
  2. Step 2: Convert to fraction form
    56,744.72/78,357.24 = 35,560.40/x
  3. Step 3: Cross multiply
    56,744.72x = 78,357.24 × 35,560.40
  4. Step 4: Simplify right side
    56,744.72x = 2,786,414,797.30
  5. Step 5: Solve for x
    x = 2,786,414,797.30/56,744.72
  6. Step 6: Final answer
    x = 49,104.39

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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.