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Finding the Fourth Proportional to 50,112.88, 75,169.32 and 13,174

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Solution

The fourth proportional to 50,112.88, 75,169.32 and 13,174 is: 19,761.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,112.88 : 75,169.32 = 13,174 : x
  2. Step 2: Convert to fraction form
    50,112.88/75,169.32 = 13,174/x
  3. Step 3: Cross multiply
    50,112.88x = 75,169.32 × 13,174
  4. Step 4: Simplify right side
    50,112.88x = 990,280,621.68
  5. Step 5: Solve for x
    x = 990,280,621.68/50,112.88
  6. Step 6: Final answer
    x = 19,761.00

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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.