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Finding the Fourth Proportional to 38,019.37, 57,038.78 and 15,825.37

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Solution

The fourth proportional to 38,019.37, 57,038.78 and 15,825.37 is: 23,742.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,019.37 : 57,038.78 = 15,825.37 : x
  2. Step 2: Convert to fraction form
    38,019.37/57,038.78 = 15,825.37/x
  3. Step 3: Cross multiply
    38,019.37x = 57,038.78 × 15,825.37
  4. Step 4: Simplify right side
    38,019.37x = 902,659,797.85
  5. Step 5: Solve for x
    x = 902,659,797.85/38,019.37
  6. Step 6: Final answer
    x = 23,742.10

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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.