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Finding the Fourth Proportional to 29,447.94, 44,171.91 and 11,930.07

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Solution

The fourth proportional to 29,447.94, 44,171.91 and 11,930.07 is: 17,895.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,447.94 : 44,171.91 = 11,930.07 : x
  2. Step 2: Convert to fraction form
    29,447.94/44,171.91 = 11,930.07/x
  3. Step 3: Cross multiply
    29,447.94x = 44,171.91 × 11,930.07
  4. Step 4: Simplify right side
    29,447.94x = 526,973,978.33
  5. Step 5: Solve for x
    x = 526,973,978.33/29,447.94
  6. Step 6: Final answer
    x = 17,895.11

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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.