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Finding the Fourth Proportional to 34,277.40, 51,416.10 and 10,906.20

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Solution

The fourth proportional to 34,277.40, 51,416.10 and 10,906.20 is: 16,359.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,277.40 : 51,416.10 = 10,906.20 : x
  2. Step 2: Convert to fraction form
    34,277.40/51,416.10 = 10,906.20/x
  3. Step 3: Cross multiply
    34,277.40x = 51,416.10 × 10,906.20
  4. Step 4: Simplify right side
    34,277.40x = 560,754,269.82
  5. Step 5: Solve for x
    x = 560,754,269.82/34,277.40
  6. Step 6: Final answer
    x = 16,359.30

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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.