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Finding the Fourth Proportional to 30,136, 45,204 and 11,668

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Solution

The fourth proportional to 30,136, 45,204 and 11,668 is: 17,502

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,136 : 45,204 = 11,668 : x
  2. Step 2: Convert to fraction form
    30,136/45,204 = 11,668/x
  3. Step 3: Cross multiply
    30,136x = 45,204 × 11,668
  4. Step 4: Simplify right side
    30,136x = 527,440,272
  5. Step 5: Solve for x
    x = 527,440,272/30,136
  6. Step 6: Final answer
    x = 17,502

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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.