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Finding the Fourth Proportional to 50,174, 75,266.04 and 13,238

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Solution

The fourth proportional to 50,174, 75,266.04 and 13,238 is: 19,858.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,174 : 75,266.04 = 13,238 : x
  2. Step 2: Convert to fraction form
    50,174/75,266.04 = 13,238/x
  3. Step 3: Cross multiply
    50,174x = 75,266.04 × 13,238
  4. Step 4: Simplify right side
    50,174x = 996,371,837.52
  5. Step 5: Solve for x
    x = 996,371,837.52/50,174
  6. Step 6: Final answer
    x = 19,858.33

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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.