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Finding the Fourth Proportional to 56,311.96, 84,450.84 and 29,643.52

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Solution

The fourth proportional to 56,311.96, 84,450.84 and 29,643.52 is: 44,456.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,311.96 : 84,450.84 = 29,643.52 : x
  2. Step 2: Convert to fraction form
    56,311.96/84,450.84 = 29,643.52/x
  3. Step 3: Cross multiply
    56,311.96x = 84,450.84 × 29,643.52
  4. Step 4: Simplify right side
    56,311.96x = 2,503,420,164.56
  5. Step 5: Solve for x
    x = 2,503,420,164.56/56,311.96
  6. Step 6: Final answer
    x = 44,456.28

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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.