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Finding the Fourth Proportional to 30,162.38, 41,624.08 and 16,735.82

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Solution

The fourth proportional to 30,162.38, 41,624.08 and 16,735.82 is: 23,095.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,162.38 : 41,624.08 = 16,735.82 : x
  2. Step 2: Convert to fraction form
    30,162.38/41,624.08 = 16,735.82/x
  3. Step 3: Cross multiply
    30,162.38x = 41,624.08 × 16,735.82
  4. Step 4: Simplify right side
    30,162.38x = 696,612,860.59
  5. Step 5: Solve for x
    x = 696,612,860.59/30,162.38
  6. Step 6: Final answer
    x = 23,095.42

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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.