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Finding the Fourth Proportional to 30,167.27, 41,630.84 and 16,738.50

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Solution

The fourth proportional to 30,167.27, 41,630.84 and 16,738.50 is: 23,099.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,167.27 : 41,630.84 = 16,738.50 : x
  2. Step 2: Convert to fraction form
    30,167.27/41,630.84 = 16,738.50/x
  3. Step 3: Cross multiply
    30,167.27x = 41,630.84 × 16,738.50
  4. Step 4: Simplify right side
    30,167.27x = 696,837,731.65
  5. Step 5: Solve for x
    x = 696,837,731.65/30,167.27
  6. Step 6: Final answer
    x = 23,099.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.