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Finding the Fourth Proportional to 97,797.75, 134,969.45 and 54,776.54

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Solution

The fourth proportional to 97,797.75, 134,969.45 and 54,776.54 is: 75,596.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,797.75 : 134,969.45 = 54,776.54 : x
  2. Step 2: Convert to fraction form
    97,797.75/134,969.45 = 54,776.54/x
  3. Step 3: Cross multiply
    97,797.75x = 134,969.45 × 54,776.54
  4. Step 4: Simplify right side
    97,797.75x = 7,393,158,527.97
  5. Step 5: Solve for x
    x = 7,393,158,527.97/97,797.75
  6. Step 6: Final answer
    x = 75,596.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.