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Finding the Fourth Proportional to 50,856.40, 76,289.64 and 18,844

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Solution

The fourth proportional to 50,856.40, 76,289.64 and 18,844 is: 28,267.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,856.40 : 76,289.64 = 18,844 : x
  2. Step 2: Convert to fraction form
    50,856.40/76,289.64 = 18,844/x
  3. Step 3: Cross multiply
    50,856.40x = 76,289.64 × 18,844
  4. Step 4: Simplify right side
    50,856.40x = 1,437,601,976.16
  5. Step 5: Solve for x
    x = 1,437,601,976.16/50,856.40
  6. Step 6: Final answer
    x = 28,267.87

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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.