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Finding the Fourth Proportional to 32,706.56, 49,067.16 and 11,930.06

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Solution

The fourth proportional to 32,706.56, 49,067.16 and 11,930.06 is: 17,897.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,706.56 : 49,067.16 = 11,930.06 : x
  2. Step 2: Convert to fraction form
    32,706.56/49,067.16 = 11,930.06/x
  3. Step 3: Cross multiply
    32,706.56x = 49,067.16 × 11,930.06
  4. Step 4: Simplify right side
    32,706.56x = 585,374,285.50
  5. Step 5: Solve for x
    x = 585,374,285.50/32,706.56
  6. Step 6: Final answer
    x = 17,897.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.