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Finding the Fourth Proportional to 57,846.68, 86,783.87 and 19,895.30

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Solution

The fourth proportional to 57,846.68, 86,783.87 and 19,895.30 is: 29,847.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,846.68 : 86,783.87 = 19,895.30 : x
  2. Step 2: Convert to fraction form
    57,846.68/86,783.87 = 19,895.30/x
  3. Step 3: Cross multiply
    57,846.68x = 86,783.87 × 19,895.30
  4. Step 4: Simplify right side
    57,846.68x = 1,726,591,128.81
  5. Step 5: Solve for x
    x = 1,726,591,128.81/57,846.68
  6. Step 6: Final answer
    x = 29,847.71

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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.