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Finding the Fourth Proportional to 50,903.56, 76,378.02 and 19,741.24

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Solution

The fourth proportional to 50,903.56, 76,378.02 and 19,741.24 is: 29,620.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,903.56 : 76,378.02 = 19,741.24 : x
  2. Step 2: Convert to fraction form
    50,903.56/76,378.02 = 19,741.24/x
  3. Step 3: Cross multiply
    50,903.56x = 76,378.02 × 19,741.24
  4. Step 4: Simplify right side
    50,903.56x = 1,507,796,823.54
  5. Step 5: Solve for x
    x = 1,507,796,823.54/50,903.56
  6. Step 6: Final answer
    x = 29,620.66

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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.