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Finding the Fourth Proportional to 75,883, 113,824.32 and 25,963.60

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Solution

The fourth proportional to 75,883, 113,824.32 and 25,963.60 is: 38,945.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,883 : 113,824.32 = 25,963.60 : x
  2. Step 2: Convert to fraction form
    75,883/113,824.32 = 25,963.60/x
  3. Step 3: Cross multiply
    75,883x = 113,824.32 × 25,963.60
  4. Step 4: Simplify right side
    75,883x = 2,955,289,114.75
  5. Step 5: Solve for x
    x = 2,955,289,114.75/75,883
  6. Step 6: Final answer
    x = 38,945.34

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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.