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Finding the Fourth Proportional to 32,288.16, 44,556 and 21,676.32

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Solution

The fourth proportional to 32,288.16, 44,556 and 21,676.32 is: 29,912.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,288.16 : 44,556 = 21,676.32 : x
  2. Step 2: Convert to fraction form
    32,288.16/44,556 = 21,676.32/x
  3. Step 3: Cross multiply
    32,288.16x = 44,556 × 21,676.32
  4. Step 4: Simplify right side
    32,288.16x = 965,810,113.92
  5. Step 5: Solve for x
    x = 965,810,113.92/32,288.16
  6. Step 6: Final answer
    x = 29,912.21

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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.