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Finding the Fourth Proportional to 30,266, 41,767.08 and 17,018

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Solution

The fourth proportional to 30,266, 41,767.08 and 17,018 is: 23,484.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,266 : 41,767.08 = 17,018 : x
  2. Step 2: Convert to fraction form
    30,266/41,767.08 = 17,018/x
  3. Step 3: Cross multiply
    30,266x = 41,767.08 × 17,018
  4. Step 4: Simplify right side
    30,266x = 710,792,167.44
  5. Step 5: Solve for x
    x = 710,792,167.44/30,266
  6. Step 6: Final answer
    x = 23,484.84

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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.