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Finding the Fourth Proportional to 71,104.41, 106,633.94 and 28,984.41

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Solution

The fourth proportional to 71,104.41, 106,633.94 and 28,984.41 is: 43,467.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,104.41 : 106,633.94 = 28,984.41 : x
  2. Step 2: Convert to fraction form
    71,104.41/106,633.94 = 28,984.41/x
  3. Step 3: Cross multiply
    71,104.41x = 106,633.94 × 28,984.41
  4. Step 4: Simplify right side
    71,104.41x = 3,090,721,691.95
  5. Step 5: Solve for x
    x = 3,090,721,691.95/71,104.41
  6. Step 6: Final answer
    x = 43,467.37

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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.