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Finding the Fourth Proportional to 37,823.88, 52,189.04 and 21,907.38

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Solution

The fourth proportional to 37,823.88, 52,189.04 and 21,907.38 is: 30,227.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,823.88 : 52,189.04 = 21,907.38 : x
  2. Step 2: Convert to fraction form
    37,823.88/52,189.04 = 21,907.38/x
  3. Step 3: Cross multiply
    37,823.88x = 52,189.04 × 21,907.38
  4. Step 4: Simplify right side
    37,823.88x = 1,143,325,131.12
  5. Step 5: Solve for x
    x = 1,143,325,131.12/37,823.88
  6. Step 6: Final answer
    x = 30,227.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.