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Finding the Fourth Proportional to 30,383, 41,930.16 and 17,811.80

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Solution

The fourth proportional to 30,383, 41,930.16 and 17,811.80 is: 24,581.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,383 : 41,930.16 = 17,811.80 : x
  2. Step 2: Convert to fraction form
    30,383/41,930.16 = 17,811.80/x
  3. Step 3: Cross multiply
    30,383x = 41,930.16 × 17,811.80
  4. Step 4: Simplify right side
    30,383x = 746,851,623.89
  5. Step 5: Solve for x
    x = 746,851,623.89/30,383
  6. Step 6: Final answer
    x = 24,581.23

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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.