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Finding the Fourth Proportional to 80,976.48, 111,744.72 and 50,778

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Solution

The fourth proportional to 80,976.48, 111,744.72 and 50,778 is: 70,071.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,976.48 : 111,744.72 = 50,778 : x
  2. Step 2: Convert to fraction form
    80,976.48/111,744.72 = 50,778/x
  3. Step 3: Cross multiply
    80,976.48x = 111,744.72 × 50,778
  4. Step 4: Simplify right side
    80,976.48x = 5,674,173,392.16
  5. Step 5: Solve for x
    x = 5,674,173,392.16/80,976.48
  6. Step 6: Final answer
    x = 70,071.87

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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.