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Finding the Fourth Proportional to 30,260.45, 45,414.30 and 20,965.70

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Solution

The fourth proportional to 30,260.45, 45,414.30 and 20,965.70 is: 31,464.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,260.45 : 45,414.30 = 20,965.70 : x
  2. Step 2: Convert to fraction form
    30,260.45/45,414.30 = 20,965.70/x
  3. Step 3: Cross multiply
    30,260.45x = 45,414.30 × 20,965.70
  4. Step 4: Simplify right side
    30,260.45x = 952,142,589.51
  5. Step 5: Solve for x
    x = 952,142,589.51/30,260.45
  6. Step 6: Final answer
    x = 31,464.92

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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.