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Finding the Fourth Proportional to 55,083.56, 76,015.32 and 29,933

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Solution

The fourth proportional to 55,083.56, 76,015.32 and 29,933 is: 41,307.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,083.56 : 76,015.32 = 29,933 : x
  2. Step 2: Convert to fraction form
    55,083.56/76,015.32 = 29,933/x
  3. Step 3: Cross multiply
    55,083.56x = 76,015.32 × 29,933
  4. Step 4: Simplify right side
    55,083.56x = 2,275,366,573.56
  5. Step 5: Solve for x
    x = 2,275,366,573.56/55,083.56
  6. Step 6: Final answer
    x = 41,307.54

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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.