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Finding the Fourth Proportional to 56,305.82, 84,471.87 and 16,325.64

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Solution

The fourth proportional to 56,305.82, 84,471.87 and 16,325.64 is: 24,492.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,305.82 : 84,471.87 = 16,325.64 : x
  2. Step 2: Convert to fraction form
    56,305.82/84,471.87 = 16,325.64/x
  3. Step 3: Cross multiply
    56,305.82x = 84,471.87 × 16,325.64
  4. Step 4: Simplify right side
    56,305.82x = 1,379,057,339.75
  5. Step 5: Solve for x
    x = 1,379,057,339.75/56,305.82
  6. Step 6: Final answer
    x = 24,492.27

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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.