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Finding the Fourth Proportional to 30,383.39, 41,929 and 16,954.50

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Solution

The fourth proportional to 30,383.39, 41,929 and 16,954.50 is: 23,397.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,383.39 : 41,929 = 16,954.50 : x
  2. Step 2: Convert to fraction form
    30,383.39/41,929 = 16,954.50/x
  3. Step 3: Cross multiply
    30,383.39x = 41,929 × 16,954.50
  4. Step 4: Simplify right side
    30,383.39x = 710,885,230.50
  5. Step 5: Solve for x
    x = 710,885,230.50/30,383.39
  6. Step 6: Final answer
    x = 23,397.17

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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.