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Finding the Fourth Proportional to 50,736, 76,104.24 and 17,904

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Solution

The fourth proportional to 50,736, 76,104.24 and 17,904 is: 26,856.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,736 : 76,104.24 = 17,904 : x
  2. Step 2: Convert to fraction form
    50,736/76,104.24 = 17,904/x
  3. Step 3: Cross multiply
    50,736x = 76,104.24 × 17,904
  4. Step 4: Simplify right side
    50,736x = 1,362,570,312.96
  5. Step 5: Solve for x
    x = 1,362,570,312.96/50,736
  6. Step 6: Final answer
    x = 26,856.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.