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Finding the Fourth Proportional to 71,792, 107,705.44 and 22,544

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Solution

The fourth proportional to 71,792, 107,705.44 and 22,544 is: 33,821.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,792 : 107,705.44 = 22,544 : x
  2. Step 2: Convert to fraction form
    71,792/107,705.44 = 22,544/x
  3. Step 3: Cross multiply
    71,792x = 107,705.44 × 22,544
  4. Step 4: Simplify right side
    71,792x = 2,428,111,439.36
  5. Step 5: Solve for x
    x = 2,428,111,439.36/71,792
  6. Step 6: Final answer
    x = 33,821.48

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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.