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Finding the Fourth Proportional to 30,201.80, 45,326.07 and 20,906.78

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Solution

The fourth proportional to 30,201.80, 45,326.07 and 20,906.78 is: 31,376.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,201.80 : 45,326.07 = 20,906.78 : x
  2. Step 2: Convert to fraction form
    30,201.80/45,326.07 = 20,906.78/x
  3. Step 3: Cross multiply
    30,201.80x = 45,326.07 × 20,906.78
  4. Step 4: Simplify right side
    30,201.80x = 947,621,947.12
  5. Step 5: Solve for x
    x = 947,621,947.12/30,201.80
  6. Step 6: Final answer
    x = 31,376.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.