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Finding the Fourth Proportional to 32,438.28, 44,765.52 and 18,288.39

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Solution

The fourth proportional to 32,438.28, 44,765.52 and 18,288.39 is: 25,238.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,438.28 : 44,765.52 = 18,288.39 : x
  2. Step 2: Convert to fraction form
    32,438.28/44,765.52 = 18,288.39/x
  3. Step 3: Cross multiply
    32,438.28x = 44,765.52 × 18,288.39
  4. Step 4: Simplify right side
    32,438.28x = 818,689,288.31
  5. Step 5: Solve for x
    x = 818,689,288.31/32,438.28
  6. Step 6: Final answer
    x = 25,238.37

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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.