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Finding the Fourth Proportional to 32,538.24, 44,902.80 and 17,634.24

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Solution

The fourth proportional to 32,538.24, 44,902.80 and 17,634.24 is: 24,335.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,538.24 : 44,902.80 = 17,634.24 : x
  2. Step 2: Convert to fraction form
    32,538.24/44,902.80 = 17,634.24/x
  3. Step 3: Cross multiply
    32,538.24x = 44,902.80 × 17,634.24
  4. Step 4: Simplify right side
    32,538.24x = 791,826,751.87
  5. Step 5: Solve for x
    x = 791,826,751.87/32,538.24
  6. Step 6: Final answer
    x = 24,335.27

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