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Finding the Fourth Proportional to 50,947.92, 76,437.06 and 24,313.90

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Solution

The fourth proportional to 50,947.92, 76,437.06 and 24,313.90 is: 36,478.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,947.92 : 76,437.06 = 24,313.90 : x
  2. Step 2: Convert to fraction form
    50,947.92/76,437.06 = 24,313.90/x
  3. Step 3: Cross multiply
    50,947.92x = 76,437.06 × 24,313.90
  4. Step 4: Simplify right side
    50,947.92x = 1,858,483,033.13
  5. Step 5: Solve for x
    x = 1,858,483,033.13/50,947.92
  6. Step 6: Final answer
    x = 36,478.09

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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.