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Finding the Fourth Proportional to 32,174.94, 48,268.49 and 12,190.41

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Solution

The fourth proportional to 32,174.94, 48,268.49 and 12,190.41 is: 18,287.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,174.94 : 48,268.49 = 12,190.41 : x
  2. Step 2: Convert to fraction form
    32,174.94/48,268.49 = 12,190.41/x
  3. Step 3: Cross multiply
    32,174.94x = 48,268.49 × 12,190.41
  4. Step 4: Simplify right side
    32,174.94x = 588,412,622.23
  5. Step 5: Solve for x
    x = 588,412,622.23/32,174.94
  6. Step 6: Final answer
    x = 18,287.92

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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.