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Finding the Fourth Proportional to 103,616, 155,450.10 and 29,744

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Solution

The fourth proportional to 103,616, 155,450.10 and 29,744 is: 44,623.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,616 : 155,450.10 = 29,744 : x
  2. Step 2: Convert to fraction form
    103,616/155,450.10 = 29,744/x
  3. Step 3: Cross multiply
    103,616x = 155,450.10 × 29,744
  4. Step 4: Simplify right side
    103,616x = 4,623,707,774.40
  5. Step 5: Solve for x
    x = 4,623,707,774.40/103,616
  6. Step 6: Final answer
    x = 44,623.49

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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.