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Finding the Fourth Proportional to 50,502.70, 75,731.91 and 17,213.59

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Solution

The fourth proportional to 50,502.70, 75,731.91 and 17,213.59 is: 25,812.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,502.70 : 75,731.91 = 17,213.59 : x
  2. Step 2: Convert to fraction form
    50,502.70/75,731.91 = 17,213.59/x
  3. Step 3: Cross multiply
    50,502.70x = 75,731.91 × 17,213.59
  4. Step 4: Simplify right side
    50,502.70x = 1,303,618,048.66
  5. Step 5: Solve for x
    x = 1,303,618,048.66/50,502.70
  6. Step 6: Final answer
    x = 25,812.84

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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.