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Finding the Fourth Proportional to 30,694.95, 42,360.77 and 20,468.33

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Solution

The fourth proportional to 30,694.95, 42,360.77 and 20,468.33 is: 28,247.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,694.95 : 42,360.77 = 20,468.33 : x
  2. Step 2: Convert to fraction form
    30,694.95/42,360.77 = 20,468.33/x
  3. Step 3: Cross multiply
    30,694.95x = 42,360.77 × 20,468.33
  4. Step 4: Simplify right side
    30,694.95x = 867,054,219.41
  5. Step 5: Solve for x
    x = 867,054,219.41/30,694.95
  6. Step 6: Final answer
    x = 28,247.46

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