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Finding the Fourth Proportional to 51,204.56, 76,811.16 and 16,146.32

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Solution

The fourth proportional to 51,204.56, 76,811.16 and 16,146.32 is: 24,220.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,204.56 : 76,811.16 = 16,146.32 : x
  2. Step 2: Convert to fraction form
    51,204.56/76,811.16 = 16,146.32/x
  3. Step 3: Cross multiply
    51,204.56x = 76,811.16 × 16,146.32
  4. Step 4: Simplify right side
    51,204.56x = 1,240,217,568.93
  5. Step 5: Solve for x
    x = 1,240,217,568.93/51,204.56
  6. Step 6: Final answer
    x = 24,220.84

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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.