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Finding the Fourth Proportional to 30,964.38, 42,730.81 and 16,817.13

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Solution

The fourth proportional to 30,964.38, 42,730.81 and 16,817.13 is: 23,207.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,964.38 : 42,730.81 = 16,817.13 : x
  2. Step 2: Convert to fraction form
    30,964.38/42,730.81 = 16,817.13/x
  3. Step 3: Cross multiply
    30,964.38x = 42,730.81 × 16,817.13
  4. Step 4: Simplify right side
    30,964.38x = 718,609,447.56
  5. Step 5: Solve for x
    x = 718,609,447.56/30,964.38
  6. Step 6: Final answer
    x = 23,207.61

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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.