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Finding the Fourth Proportional to 34,191, 47,183.64 and 19,287

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Solution

The fourth proportional to 34,191, 47,183.64 and 19,287 is: 26,616.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,191 : 47,183.64 = 19,287 : x
  2. Step 2: Convert to fraction form
    34,191/47,183.64 = 19,287/x
  3. Step 3: Cross multiply
    34,191x = 47,183.64 × 19,287
  4. Step 4: Simplify right side
    34,191x = 910,030,864.68
  5. Step 5: Solve for x
    x = 910,030,864.68/34,191
  6. Step 6: Final answer
    x = 26,616.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.