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Finding the Fourth Proportional to 34,171, 47,156.34 and 19,267

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Solution

The fourth proportional to 34,171, 47,156.34 and 19,267 is: 26,588.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,171 : 47,156.34 = 19,267 : x
  2. Step 2: Convert to fraction form
    34,171/47,156.34 = 19,267/x
  3. Step 3: Cross multiply
    34,171x = 47,156.34 × 19,267
  4. Step 4: Simplify right side
    34,171x = 908,561,202.78
  5. Step 5: Solve for x
    x = 908,561,202.78/34,171
  6. Step 6: Final answer
    x = 26,588.66

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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.