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Finding the Fourth Proportional to 45,728.20, 68,563.14 and 19,419.40

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Solution

The fourth proportional to 45,728.20, 68,563.14 and 19,419.40 is: 29,116.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,728.20 : 68,563.14 = 19,419.40 : x
  2. Step 2: Convert to fraction form
    45,728.20/68,563.14 = 19,419.40/x
  3. Step 3: Cross multiply
    45,728.20x = 68,563.14 × 19,419.40
  4. Step 4: Simplify right side
    45,728.20x = 1,331,455,040.92
  5. Step 5: Solve for x
    x = 1,331,455,040.92/45,728.20
  6. Step 6: Final answer
    x = 29,116.72

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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.