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Finding the Fourth Proportional to 30,165.71, 41,628.38 and 16,736.63

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Solution

The fourth proportional to 30,165.71, 41,628.38 and 16,736.63 is: 23,096.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,165.71 : 41,628.38 = 16,736.63 : x
  2. Step 2: Convert to fraction form
    30,165.71/41,628.38 = 16,736.63/x
  3. Step 3: Cross multiply
    30,165.71x = 41,628.38 × 16,736.63
  4. Step 4: Simplify right side
    30,165.71x = 696,718,501.73
  5. Step 5: Solve for x
    x = 696,718,501.73/30,165.71
  6. Step 6: Final answer
    x = 23,096.38

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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.