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Finding the Fourth Proportional to 49,152.60, 73,728.90 and 33,406.20

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Solution

The fourth proportional to 49,152.60, 73,728.90 and 33,406.20 is: 50,109.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,152.60 : 73,728.90 = 33,406.20 : x
  2. Step 2: Convert to fraction form
    49,152.60/73,728.90 = 33,406.20/x
  3. Step 3: Cross multiply
    49,152.60x = 73,728.90 × 33,406.20
  4. Step 4: Simplify right side
    49,152.60x = 2,463,002,379.18
  5. Step 5: Solve for x
    x = 2,463,002,379.18/49,152.60
  6. Step 6: Final answer
    x = 50,109.30

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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.