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Finding the Fourth Proportional to 32,706.69, 49,067.34 and 11,930.19

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Solution

The fourth proportional to 32,706.69, 49,067.34 and 11,930.19 is: 17,897.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,706.69 : 49,067.34 = 11,930.19 : x
  2. Step 2: Convert to fraction form
    32,706.69/49,067.34 = 11,930.19/x
  3. Step 3: Cross multiply
    32,706.69x = 49,067.34 × 11,930.19
  4. Step 4: Simplify right side
    32,706.69x = 585,382,688.99
  5. Step 5: Solve for x
    x = 585,382,688.99/32,706.69
  6. Step 6: Final answer
    x = 17,897.95

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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.