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Finding the Fourth Proportional to 30,142.38, 45,183.81 and 12,624.30

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Solution

The fourth proportional to 30,142.38, 45,183.81 and 12,624.30 is: 18,923.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,142.38 : 45,183.81 = 12,624.30 : x
  2. Step 2: Convert to fraction form
    30,142.38/45,183.81 = 12,624.30/x
  3. Step 3: Cross multiply
    30,142.38x = 45,183.81 × 12,624.30
  4. Step 4: Simplify right side
    30,142.38x = 570,413,972.58
  5. Step 5: Solve for x
    x = 570,413,972.58/30,142.38
  6. Step 6: Final answer
    x = 18,923.99

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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.