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Finding the Fourth Proportional to 30,382.86, 41,930.42 and 16,956.70

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Solution

The fourth proportional to 30,382.86, 41,930.42 and 16,956.70 is: 23,401.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,382.86 : 41,930.42 = 16,956.70 : x
  2. Step 2: Convert to fraction form
    30,382.86/41,930.42 = 16,956.70/x
  3. Step 3: Cross multiply
    30,382.86x = 41,930.42 × 16,956.70
  4. Step 4: Simplify right side
    30,382.86x = 711,001,552.81
  5. Step 5: Solve for x
    x = 711,001,552.81/30,382.86
  6. Step 6: Final answer
    x = 23,401.40

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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.