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Finding the Fourth Proportional to 55,084, 76,015.92 and 29,933.50

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Solution

The fourth proportional to 55,084, 76,015.92 and 29,933.50 is: 41,308.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,084 : 76,015.92 = 29,933.50 : x
  2. Step 2: Convert to fraction form
    55,084/76,015.92 = 29,933.50/x
  3. Step 3: Cross multiply
    55,084x = 76,015.92 × 29,933.50
  4. Step 4: Simplify right side
    55,084x = 2,275,422,541.32
  5. Step 5: Solve for x
    x = 2,275,422,541.32/55,084
  6. Step 6: Final answer
    x = 41,308.23

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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.