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Finding the Fourth Proportional to 32,706.57, 49,067.16 and 11,930.07

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Solution

The fourth proportional to 32,706.57, 49,067.16 and 11,930.07 is: 17,897.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,706.57 : 49,067.16 = 11,930.07 : x
  2. Step 2: Convert to fraction form
    32,706.57/49,067.16 = 11,930.07/x
  3. Step 3: Cross multiply
    32,706.57x = 49,067.16 × 11,930.07
  4. Step 4: Simplify right side
    32,706.57x = 585,374,408.17
  5. Step 5: Solve for x
    x = 585,374,408.17/32,706.57
  6. Step 6: Final answer
    x = 17,897.76

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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.