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Finding the Fourth Proportional to 71,294.88, 106,906.32 and 41,721.60

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Solution

The fourth proportional to 71,294.88, 106,906.32 and 41,721.60 is: 62,561.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,294.88 : 106,906.32 = 41,721.60 : x
  2. Step 2: Convert to fraction form
    71,294.88/106,906.32 = 41,721.60/x
  3. Step 3: Cross multiply
    71,294.88x = 106,906.32 × 41,721.60
  4. Step 4: Simplify right side
    71,294.88x = 4,460,302,720.51
  5. Step 5: Solve for x
    x = 4,460,302,720.51/71,294.88
  6. Step 6: Final answer
    x = 62,561.33

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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.