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Finding the Fourth Proportional to 30,433.84, 41,998.83 and 16,636.46

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Solution

The fourth proportional to 30,433.84, 41,998.83 and 16,636.46 is: 22,958.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,433.84 : 41,998.83 = 16,636.46 : x
  2. Step 2: Convert to fraction form
    30,433.84/41,998.83 = 16,636.46/x
  3. Step 3: Cross multiply
    30,433.84x = 41,998.83 × 16,636.46
  4. Step 4: Simplify right side
    30,433.84x = 698,711,645.35
  5. Step 5: Solve for x
    x = 698,711,645.35/30,433.84
  6. Step 6: Final answer
    x = 22,958.38

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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.