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Finding the Fourth Proportional to 102,596.44, 153,905.28 and 27,717

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Solution

The fourth proportional to 102,596.44, 153,905.28 and 27,717 is: 41,578.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,596.44 : 153,905.28 = 27,717 : x
  2. Step 2: Convert to fraction form
    102,596.44/153,905.28 = 27,717/x
  3. Step 3: Cross multiply
    102,596.44x = 153,905.28 × 27,717
  4. Step 4: Simplify right side
    102,596.44x = 4,265,792,645.76
  5. Step 5: Solve for x
    x = 4,265,792,645.76/102,596.44
  6. Step 6: Final answer
    x = 41,578.37

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1.5x scale

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.