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Finding the Fourth Proportional to 50,975.46, 76,507.02 and 19,832.58

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Solution

The fourth proportional to 50,975.46, 76,507.02 and 19,832.58 is: 29,765.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,975.46 : 76,507.02 = 19,832.58 : x
  2. Step 2: Convert to fraction form
    50,975.46/76,507.02 = 19,832.58/x
  3. Step 3: Cross multiply
    50,975.46x = 76,507.02 × 19,832.58
  4. Step 4: Simplify right side
    50,975.46x = 1,517,331,594.71
  5. Step 5: Solve for x
    x = 1,517,331,594.71/50,975.46
  6. Step 6: Final answer
    x = 29,765.92

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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.