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Finding the Fourth Proportional to 49,311, 73,950.84 and 16,023.36

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Solution

The fourth proportional to 49,311, 73,950.84 and 16,023.36 is: 24,029.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,311 : 73,950.84 = 16,023.36 : x
  2. Step 2: Convert to fraction form
    49,311/73,950.84 = 16,023.36/x
  3. Step 3: Cross multiply
    49,311x = 73,950.84 × 16,023.36
  4. Step 4: Simplify right side
    49,311x = 1,184,940,931.62
  5. Step 5: Solve for x
    x = 1,184,940,931.62/49,311
  6. Step 6: Final answer
    x = 24,029.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.