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Finding the Fourth Proportional to 100,623.72, 150,940.74 and 25,744.50

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Solution

The fourth proportional to 100,623.72, 150,940.74 and 25,744.50 is: 38,618.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,623.72 : 150,940.74 = 25,744.50 : x
  2. Step 2: Convert to fraction form
    100,623.72/150,940.74 = 25,744.50/x
  3. Step 3: Cross multiply
    100,623.72x = 150,940.74 × 25,744.50
  4. Step 4: Simplify right side
    100,623.72x = 3,885,893,880.93
  5. Step 5: Solve for x
    x = 3,885,893,880.93/100,623.72
  6. Step 6: Final answer
    x = 38,618.07

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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.