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Finding the Fourth Proportional to 19,847.70, 29,769.93 and 5,056.02

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Solution

The fourth proportional to 19,847.70, 29,769.93 and 5,056.02 is: 7,583.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,847.70 : 29,769.93 = 5,056.02 : x
  2. Step 2: Convert to fraction form
    19,847.70/29,769.93 = 5,056.02/x
  3. Step 3: Cross multiply
    19,847.70x = 29,769.93 × 5,056.02
  4. Step 4: Simplify right side
    19,847.70x = 150,517,361.48
  5. Step 5: Solve for x
    x = 150,517,361.48/19,847.70
  6. Step 6: Final answer
    x = 7,583.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.