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Finding the Fourth Proportional to 30,120.96, 45,086.71 and 20,705.91

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Solution

The fourth proportional to 30,120.96, 45,086.71 and 20,705.91 is: 30,993.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,120.96 : 45,086.71 = 20,705.91 : x
  2. Step 2: Convert to fraction form
    30,120.96/45,086.71 = 20,705.91/x
  3. Step 3: Cross multiply
    30,120.96x = 45,086.71 × 20,705.91
  4. Step 4: Simplify right side
    30,120.96x = 933,561,359.46
  5. Step 5: Solve for x
    x = 933,561,359.46/30,120.96
  6. Step 6: Final answer
    x = 30,993.75

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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.