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Finding the Fourth Proportional to 38,022.37, 57,043.28 and 15,828.37

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Solution

The fourth proportional to 38,022.37, 57,043.28 and 15,828.37 is: 23,746.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,022.37 : 57,043.28 = 15,828.37 : x
  2. Step 2: Convert to fraction form
    38,022.37/57,043.28 = 15,828.37/x
  3. Step 3: Cross multiply
    38,022.37x = 57,043.28 × 15,828.37
  4. Step 4: Simplify right side
    38,022.37x = 902,902,141.85
  5. Step 5: Solve for x
    x = 902,902,141.85/38,022.37
  6. Step 6: Final answer
    x = 23,746.60

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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.