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Finding the Fourth Proportional to 42,065.84, 57,932.74 and 41,147.30

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Solution

The fourth proportional to 42,065.84, 57,932.74 and 41,147.30 is: 56,667.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,065.84 : 57,932.74 = 41,147.30 : x
  2. Step 2: Convert to fraction form
    42,065.84/57,932.74 = 41,147.30/x
  3. Step 3: Cross multiply
    42,065.84x = 57,932.74 × 41,147.30
  4. Step 4: Simplify right side
    42,065.84x = 2,383,775,832.60
  5. Step 5: Solve for x
    x = 2,383,775,832.60/42,065.84
  6. Step 6: Final answer
    x = 56,667.73

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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.