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Finding the Fourth Proportional to 51,115.52, 76,676.48 and 16,056.48

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Solution

The fourth proportional to 51,115.52, 76,676.48 and 16,056.48 is: 24,085.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,115.52 : 76,676.48 = 16,056.48 : x
  2. Step 2: Convert to fraction form
    51,115.52/76,676.48 = 16,056.48/x
  3. Step 3: Cross multiply
    51,115.52x = 76,676.48 × 16,056.48
  4. Step 4: Simplify right side
    51,115.52x = 1,231,154,367.59
  5. Step 5: Solve for x
    x = 1,231,154,367.59/51,115.52
  6. Step 6: Final answer
    x = 24,085.73

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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.