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Finding the Fourth Proportional to 51,163.32, 76,755.36 and 16,094.82

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Solution

The fourth proportional to 51,163.32, 76,755.36 and 16,094.82 is: 24,145.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,163.32 : 76,755.36 = 16,094.82 : x
  2. Step 2: Convert to fraction form
    51,163.32/76,755.36 = 16,094.82/x
  3. Step 3: Cross multiply
    51,163.32x = 76,755.36 × 16,094.82
  4. Step 4: Simplify right side
    51,163.32x = 1,235,363,703.24
  5. Step 5: Solve for x
    x = 1,235,363,703.24/51,163.32
  6. Step 6: Final answer
    x = 24,145.50

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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.