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Finding the Fourth Proportional to 87,057.54, 120,165.08 and 56,847.56

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Solution

The fourth proportional to 87,057.54, 120,165.08 and 56,847.56 is: 78,466.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,057.54 : 120,165.08 = 56,847.56 : x
  2. Step 2: Convert to fraction form
    87,057.54/120,165.08 = 56,847.56/x
  3. Step 3: Cross multiply
    87,057.54x = 120,165.08 × 56,847.56
  4. Step 4: Simplify right side
    87,057.54x = 6,831,090,710.14
  5. Step 5: Solve for x
    x = 6,831,090,710.14/87,057.54
  6. Step 6: Final answer
    x = 78,466.39

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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.