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Finding the Fourth Proportional to 55,550.50, 76,659.69 and 30,400

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Solution

The fourth proportional to 55,550.50, 76,659.69 and 30,400 is: 41,952

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,550.50 : 76,659.69 = 30,400 : x
  2. Step 2: Convert to fraction form
    55,550.50/76,659.69 = 30,400/x
  3. Step 3: Cross multiply
    55,550.50x = 76,659.69 × 30,400
  4. Step 4: Simplify right side
    55,550.50x = 2,330,454,576
  5. Step 5: Solve for x
    x = 2,330,454,576/55,550.50
  6. Step 6: Final answer
    x = 41,952

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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.