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Finding the Fourth Proportional to 34,277.80, 51,416.70 and 12,116.20

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Solution

The fourth proportional to 34,277.80, 51,416.70 and 12,116.20 is: 18,174.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,277.80 : 51,416.70 = 12,116.20 : x
  2. Step 2: Convert to fraction form
    34,277.80/51,416.70 = 12,116.20/x
  3. Step 3: Cross multiply
    34,277.80x = 51,416.70 × 12,116.20
  4. Step 4: Simplify right side
    34,277.80x = 622,975,020.54
  5. Step 5: Solve for x
    x = 622,975,020.54/34,277.80
  6. Step 6: Final answer
    x = 18,174.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.