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Finding the Fourth Proportional to 30,257.80, 45,388.19 and 8,071.38

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Solution

The fourth proportional to 30,257.80, 45,388.19 and 8,071.38 is: 12,107.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,257.80 : 45,388.19 = 8,071.38 : x
  2. Step 2: Convert to fraction form
    30,257.80/45,388.19 = 8,071.38/x
  3. Step 3: Cross multiply
    30,257.80x = 45,388.19 × 8,071.38
  4. Step 4: Simplify right side
    30,257.80x = 366,345,329.00
  5. Step 5: Solve for x
    x = 366,345,329.00/30,257.80
  6. Step 6: Final answer
    x = 12,107.47

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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.