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Finding the Fourth Proportional to 50,782.08, 76,173.44 and 13,846.08

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Solution

The fourth proportional to 50,782.08, 76,173.44 and 13,846.08 is: 20,769.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,782.08 : 76,173.44 = 13,846.08 : x
  2. Step 2: Convert to fraction form
    50,782.08/76,173.44 = 13,846.08/x
  3. Step 3: Cross multiply
    50,782.08x = 76,173.44 × 13,846.08
  4. Step 4: Simplify right side
    50,782.08x = 1,054,703,544.12
  5. Step 5: Solve for x
    x = 1,054,703,544.12/50,782.08
  6. Step 6: Final answer
    x = 20,769.21

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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.