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Finding the Fourth Proportional to 30,949.34, 42,745.25 and 20,860.38

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Solution

The fourth proportional to 30,949.34, 42,745.25 and 20,860.38 is: 28,811.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,949.34 : 42,745.25 = 20,860.38 : x
  2. Step 2: Convert to fraction form
    30,949.34/42,745.25 = 20,860.38/x
  3. Step 3: Cross multiply
    30,949.34x = 42,745.25 × 20,860.38
  4. Step 4: Simplify right side
    30,949.34x = 891,682,158.20
  5. Step 5: Solve for x
    x = 891,682,158.20/30,949.34
  6. Step 6: Final answer
    x = 28,811.02

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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.