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Finding the Fourth Proportional to 50,696.16, 76,054.37 and 15,634.50

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Solution

The fourth proportional to 50,696.16, 76,054.37 and 15,634.50 is: 23,454.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,696.16 : 76,054.37 = 15,634.50 : x
  2. Step 2: Convert to fraction form
    50,696.16/76,054.37 = 15,634.50/x
  3. Step 3: Cross multiply
    50,696.16x = 76,054.37 × 15,634.50
  4. Step 4: Simplify right side
    50,696.16x = 1,189,071,969.59
  5. Step 5: Solve for x
    x = 1,189,071,969.59/50,696.16
  6. Step 6: Final answer
    x = 23,454.87

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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.