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Finding the Fourth Proportional to 56,662.24, 85,006 and 16,682.24

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Solution

The fourth proportional to 56,662.24, 85,006 and 16,682.24 is: 25,027.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,662.24 : 85,006 = 16,682.24 : x
  2. Step 2: Convert to fraction form
    56,662.24/85,006 = 16,682.24/x
  3. Step 3: Cross multiply
    56,662.24x = 85,006 × 16,682.24
  4. Step 4: Simplify right side
    56,662.24x = 1,418,090,493.44
  5. Step 5: Solve for x
    x = 1,418,090,493.44/56,662.24
  6. Step 6: Final answer
    x = 25,027.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.