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Finding the Fourth Proportional to 101,467.80, 152,208.36 and 26,589.78

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Solution

The fourth proportional to 101,467.80, 152,208.36 and 26,589.78 is: 39,886.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,467.80 : 152,208.36 = 26,589.78 : x
  2. Step 2: Convert to fraction form
    101,467.80/152,208.36 = 26,589.78/x
  3. Step 3: Cross multiply
    101,467.80x = 152,208.36 × 26,589.78
  4. Step 4: Simplify right side
    101,467.80x = 4,047,186,806.56
  5. Step 5: Solve for x
    x = 4,047,186,806.56/101,467.80
  6. Step 6: Final answer
    x = 39,886.42

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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.