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Finding the Fourth Proportional to 29,556.68, 44,296.52 and 12,006

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Solution

The fourth proportional to 29,556.68, 44,296.52 and 12,006 is: 17,993.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,556.68 : 44,296.52 = 12,006 : x
  2. Step 2: Convert to fraction form
    29,556.68/44,296.52 = 12,006/x
  3. Step 3: Cross multiply
    29,556.68x = 44,296.52 × 12,006
  4. Step 4: Simplify right side
    29,556.68x = 531,824,019.12
  5. Step 5: Solve for x
    x = 531,824,019.12/29,556.68
  6. Step 6: Final answer
    x = 17,993.36

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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.