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Finding the Fourth Proportional to 49,152.86, 73,729.34 and 12,216.86

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Solution

The fourth proportional to 49,152.86, 73,729.34 and 12,216.86 is: 18,325.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,152.86 : 73,729.34 = 12,216.86 : x
  2. Step 2: Convert to fraction form
    49,152.86/73,729.34 = 12,216.86/x
  3. Step 3: Cross multiply
    49,152.86x = 73,729.34 × 12,216.86
  4. Step 4: Simplify right side
    49,152.86x = 900,740,594.94
  5. Step 5: Solve for x
    x = 900,740,594.94/49,152.86
  6. Step 6: Final answer
    x = 18,325.30

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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.