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Finding the Fourth Proportional to 32,380.76, 44,686.68 and 18,233.84

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Solution

The fourth proportional to 32,380.76, 44,686.68 and 18,233.84 is: 25,163.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,380.76 : 44,686.68 = 18,233.84 : x
  2. Step 2: Convert to fraction form
    32,380.76/44,686.68 = 18,233.84/x
  3. Step 3: Cross multiply
    32,380.76x = 44,686.68 × 18,233.84
  4. Step 4: Simplify right side
    32,380.76x = 814,809,773.25
  5. Step 5: Solve for x
    x = 814,809,773.25/32,380.76
  6. Step 6: Final answer
    x = 25,163.39

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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.