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Finding the Fourth Proportional to 56,856.36, 78,462.12 and 32,997.24

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Solution

The fourth proportional to 56,856.36, 78,462.12 and 32,997.24 is: 45,536.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,856.36 : 78,462.12 = 32,997.24 : x
  2. Step 2: Convert to fraction form
    56,856.36/78,462.12 = 32,997.24/x
  3. Step 3: Cross multiply
    56,856.36x = 78,462.12 × 32,997.24
  4. Step 4: Simplify right side
    56,856.36x = 2,589,033,404.55
  5. Step 5: Solve for x
    x = 2,589,033,404.55/56,856.36
  6. Step 6: Final answer
    x = 45,536.39

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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.