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Finding the Fourth Proportional to 30,197.40, 41,672.80 and 16,769.50

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Solution

The fourth proportional to 30,197.40, 41,672.80 and 16,769.50 is: 23,142.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,197.40 : 41,672.80 = 16,769.50 : x
  2. Step 2: Convert to fraction form
    30,197.40/41,672.80 = 16,769.50/x
  3. Step 3: Cross multiply
    30,197.40x = 41,672.80 × 16,769.50
  4. Step 4: Simplify right side
    30,197.40x = 698,832,019.60
  5. Step 5: Solve for x
    x = 698,832,019.60/30,197.40
  6. Step 6: Final answer
    x = 23,142.13

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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.