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Finding the Fourth Proportional to 45,414.28, 68,104.14 and 20,773

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Solution

The fourth proportional to 45,414.28, 68,104.14 and 20,773 is: 31,151.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,414.28 : 68,104.14 = 20,773 : x
  2. Step 2: Convert to fraction form
    45,414.28/68,104.14 = 20,773/x
  3. Step 3: Cross multiply
    45,414.28x = 68,104.14 × 20,773
  4. Step 4: Simplify right side
    45,414.28x = 1,414,727,300.22
  5. Step 5: Solve for x
    x = 1,414,727,300.22/45,414.28
  6. Step 6: Final answer
    x = 31,151.60

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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.