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Finding the Fourth Proportional to 56,647.82, 84,983.08 and 31,723.32

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Solution

The fourth proportional to 56,647.82, 84,983.08 and 31,723.32 is: 47,591.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,647.82 : 84,983.08 = 31,723.32 : x
  2. Step 2: Convert to fraction form
    56,647.82/84,983.08 = 31,723.32/x
  3. Step 3: Cross multiply
    56,647.82x = 84,983.08 × 31,723.32
  4. Step 4: Simplify right side
    56,647.82x = 2,695,945,441.43
  5. Step 5: Solve for x
    x = 2,695,945,441.43/56,647.82
  6. Step 6: Final answer
    x = 47,591.34

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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.