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Finding the Fourth Proportional to 50,472, 75,650.58 and 30,706.98

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Solution

The fourth proportional to 50,472, 75,650.58 and 30,706.98 is: 46,025.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,472 : 75,650.58 = 30,706.98 : x
  2. Step 2: Convert to fraction form
    50,472/75,650.58 = 30,706.98/x
  3. Step 3: Cross multiply
    50,472x = 75,650.58 × 30,706.98
  4. Step 4: Simplify right side
    50,472x = 2,323,000,847.05
  5. Step 5: Solve for x
    x = 2,323,000,847.05/50,472
  6. Step 6: Final answer
    x = 46,025.54

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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.