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Finding the Fourth Proportional to 57,144.31, 78,852.41 and 32,945

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Solution

The fourth proportional to 57,144.31, 78,852.41 and 32,945 is: 45,460.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,144.31 : 78,852.41 = 32,945 : x
  2. Step 2: Convert to fraction form
    57,144.31/78,852.41 = 32,945/x
  3. Step 3: Cross multiply
    57,144.31x = 78,852.41 × 32,945
  4. Step 4: Simplify right side
    57,144.31x = 2,597,792,482.73
  5. Step 5: Solve for x
    x = 2,597,792,482.73/57,144.31
  6. Step 6: Final answer
    x = 45,460.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.