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Finding the Fourth Proportional to 50,576.96, 75,828 and 24,256.64

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Solution

The fourth proportional to 50,576.96, 75,828 and 24,256.64 is: 36,367.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,576.96 : 75,828 = 24,256.64 : x
  2. Step 2: Convert to fraction form
    50,576.96/75,828 = 24,256.64/x
  3. Step 3: Cross multiply
    50,576.96x = 75,828 × 24,256.64
  4. Step 4: Simplify right side
    50,576.96x = 1,839,332,497.92
  5. Step 5: Solve for x
    x = 1,839,332,497.92/50,576.96
  6. Step 6: Final answer
    x = 36,367.00

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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.