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Finding the Fourth Proportional to 100,296, 150,453.12 and 26,424

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Solution

The fourth proportional to 100,296, 150,453.12 and 26,424 is: 39,638.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,296 : 150,453.12 = 26,424 : x
  2. Step 2: Convert to fraction form
    100,296/150,453.12 = 26,424/x
  3. Step 3: Cross multiply
    100,296x = 150,453.12 × 26,424
  4. Step 4: Simplify right side
    100,296x = 3,975,573,242.88
  5. Step 5: Solve for x
    x = 3,975,573,242.88/100,296
  6. Step 6: Final answer
    x = 39,638.40

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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.