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Finding the Fourth Proportional to 32,544.16, 44,910.80 and 17,640.16

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Solution

The fourth proportional to 32,544.16, 44,910.80 and 17,640.16 is: 24,343.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,544.16 : 44,910.80 = 17,640.16 : x
  2. Step 2: Convert to fraction form
    32,544.16/44,910.80 = 17,640.16/x
  3. Step 3: Cross multiply
    32,544.16x = 44,910.80 × 17,640.16
  4. Step 4: Simplify right side
    32,544.16x = 792,233,697.73
  5. Step 5: Solve for x
    x = 792,233,697.73/32,544.16
  6. Step 6: Final answer
    x = 24,343.34

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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.