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Finding the Fourth Proportional to 34,192, 51,288 and 12,304

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Solution

The fourth proportional to 34,192, 51,288 and 12,304 is: 18,456

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,192 : 51,288 = 12,304 : x
  2. Step 2: Convert to fraction form
    34,192/51,288 = 12,304/x
  3. Step 3: Cross multiply
    34,192x = 51,288 × 12,304
  4. Step 4: Simplify right side
    34,192x = 631,047,552
  5. Step 5: Solve for x
    x = 631,047,552/34,192
  6. Step 6: Final answer
    x = 18,456

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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.