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Finding the Fourth Proportional to 76,832.67, 106,021.32 and 42,837.97

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Solution

The fourth proportional to 76,832.67, 106,021.32 and 42,837.97 is: 59,112.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,832.67 : 106,021.32 = 42,837.97 : x
  2. Step 2: Convert to fraction form
    76,832.67/106,021.32 = 42,837.97/x
  3. Step 3: Cross multiply
    76,832.67x = 106,021.32 × 42,837.97
  4. Step 4: Simplify right side
    76,832.67x = 4,541,738,125.52
  5. Step 5: Solve for x
    x = 4,541,738,125.52/76,832.67
  6. Step 6: Final answer
    x = 59,112.07

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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.