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Finding the Fourth Proportional to 38,544.84, 57,825.42 and 13,583.88

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Solution

The fourth proportional to 38,544.84, 57,825.42 and 13,583.88 is: 20,378.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,544.84 : 57,825.42 = 13,583.88 : x
  2. Step 2: Convert to fraction form
    38,544.84/57,825.42 = 13,583.88/x
  3. Step 3: Cross multiply
    38,544.84x = 57,825.42 × 13,583.88
  4. Step 4: Simplify right side
    38,544.84x = 785,493,566.23
  5. Step 5: Solve for x
    x = 785,493,566.23/38,544.84
  6. Step 6: Final answer
    x = 20,378.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.