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Finding the Fourth Proportional to 75,783.98, 113,660.62 and 25,837

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Solution

The fourth proportional to 75,783.98, 113,660.62 and 25,837 is: 38,750.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,783.98 : 113,660.62 = 25,837 : x
  2. Step 2: Convert to fraction form
    75,783.98/113,660.62 = 25,837/x
  3. Step 3: Cross multiply
    75,783.98x = 113,660.62 × 25,837
  4. Step 4: Simplify right side
    75,783.98x = 2,936,649,438.94
  5. Step 5: Solve for x
    x = 2,936,649,438.94/75,783.98
  6. Step 6: Final answer
    x = 38,750.27

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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.