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Finding the Fourth Proportional to 76,428.44, 105,472.32 and 41,976

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Solution

The fourth proportional to 76,428.44, 105,472.32 and 41,976 is: 57,927.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,428.44 : 105,472.32 = 41,976 : x
  2. Step 2: Convert to fraction form
    76,428.44/105,472.32 = 41,976/x
  3. Step 3: Cross multiply
    76,428.44x = 105,472.32 × 41,976
  4. Step 4: Simplify right side
    76,428.44x = 4,427,306,104.32
  5. Step 5: Solve for x
    x = 4,427,306,104.32/76,428.44
  6. Step 6: Final answer
    x = 57,927.47

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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.