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Finding the Fourth Proportional to 34,193, 47,186.42 and 19,289

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Solution

The fourth proportional to 34,193, 47,186.42 and 19,289 is: 26,618.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,193 : 47,186.42 = 19,289 : x
  2. Step 2: Convert to fraction form
    34,193/47,186.42 = 19,289/x
  3. Step 3: Cross multiply
    34,193x = 47,186.42 × 19,289
  4. Step 4: Simplify right side
    34,193x = 910,178,855.38
  5. Step 5: Solve for x
    x = 910,178,855.38/34,193
  6. Step 6: Final answer
    x = 26,618.87

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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.