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Finding the Fourth Proportional to 32,169.28, 44,409.12 and 20,238.40

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Solution

The fourth proportional to 32,169.28, 44,409.12 and 20,238.40 is: 27,938.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,169.28 : 44,409.12 = 20,238.40 : x
  2. Step 2: Convert to fraction form
    32,169.28/44,409.12 = 20,238.40/x
  3. Step 3: Cross multiply
    32,169.28x = 44,409.12 × 20,238.40
  4. Step 4: Simplify right side
    32,169.28x = 898,769,534.21
  5. Step 5: Solve for x
    x = 898,769,534.21/32,169.28
  6. Step 6: Final answer
    x = 27,938.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.