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Finding the Fourth Proportional to 20,119.52, 30,167.52 and 6,075.36

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Solution

The fourth proportional to 20,119.52, 30,167.52 and 6,075.36 is: 9,109.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,119.52 : 30,167.52 = 6,075.36 : x
  2. Step 2: Convert to fraction form
    20,119.52/30,167.52 = 6,075.36/x
  3. Step 3: Cross multiply
    20,119.52x = 30,167.52 × 6,075.36
  4. Step 4: Simplify right side
    20,119.52x = 183,278,544.31
  5. Step 5: Solve for x
    x = 183,278,544.31/20,119.52
  6. Step 6: Final answer
    x = 9,109.49

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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.