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Finding the Fourth Proportional to 51,223.32, 76,848.66 and 16,163.64

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Solution

The fourth proportional to 51,223.32, 76,848.66 and 16,163.64 is: 24,249.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,223.32 : 76,848.66 = 16,163.64 : x
  2. Step 2: Convert to fraction form
    51,223.32/76,848.66 = 16,163.64/x
  3. Step 3: Cross multiply
    51,223.32x = 76,848.66 × 16,163.64
  4. Step 4: Simplify right side
    51,223.32x = 1,242,154,074.72
  5. Step 5: Solve for x
    x = 1,242,154,074.72/51,223.32
  6. Step 6: Final answer
    x = 24,249.78

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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.