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Finding the Fourth Proportional to 50,096.70, 75,142.95 and 12,656.22

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Solution

The fourth proportional to 50,096.70, 75,142.95 and 12,656.22 is: 18,983.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,096.70 : 75,142.95 = 12,656.22 : x
  2. Step 2: Convert to fraction form
    50,096.70/75,142.95 = 12,656.22/x
  3. Step 3: Cross multiply
    50,096.70x = 75,142.95 × 12,656.22
  4. Step 4: Simplify right side
    50,096.70x = 951,025,706.65
  5. Step 5: Solve for x
    x = 951,025,706.65/50,096.70
  6. Step 6: Final answer
    x = 18,983.80

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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.