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Finding the Fourth Proportional to 27,770.10, 41,653.98 and 8,048.22

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Solution

The fourth proportional to 27,770.10, 41,653.98 and 8,048.22 is: 12,071.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,770.10 : 41,653.98 = 8,048.22 : x
  2. Step 2: Convert to fraction form
    27,770.10/41,653.98 = 8,048.22/x
  3. Step 3: Cross multiply
    27,770.10x = 41,653.98 × 8,048.22
  4. Step 4: Simplify right side
    27,770.10x = 335,240,394.92
  5. Step 5: Solve for x
    x = 335,240,394.92/27,770.10
  6. Step 6: Final answer
    x = 12,071.99

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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.