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Finding the Fourth Proportional to 53,969.06, 80,410.98 and 50,951

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Solution

The fourth proportional to 53,969.06, 80,410.98 and 50,951 is: 75,914.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,969.06 : 80,410.98 = 50,951 : x
  2. Step 2: Convert to fraction form
    53,969.06/80,410.98 = 50,951/x
  3. Step 3: Cross multiply
    53,969.06x = 80,410.98 × 50,951
  4. Step 4: Simplify right side
    53,969.06x = 4,097,019,587.23
  5. Step 5: Solve for x
    x = 4,097,019,587.23/53,969.06
  6. Step 6: Final answer
    x = 75,914.23

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.