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Finding the Fourth Proportional to 51,408.37, 77,096.04 and 16,339.83

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Solution

The fourth proportional to 51,408.37, 77,096.04 and 16,339.83 is: 24,504.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,408.37 : 77,096.04 = 16,339.83 : x
  2. Step 2: Convert to fraction form
    51,408.37/77,096.04 = 16,339.83/x
  3. Step 3: Cross multiply
    51,408.37x = 77,096.04 × 16,339.83
  4. Step 4: Simplify right side
    51,408.37x = 1,259,736,187.27
  5. Step 5: Solve for x
    x = 1,259,736,187.27/51,408.37
  6. Step 6: Final answer
    x = 24,504.50

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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.