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Finding the Fourth Proportional to 51,405.54, 77,108.39 and 14,469.54

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Solution

The fourth proportional to 51,405.54, 77,108.39 and 14,469.54 is: 21,704.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,405.54 : 77,108.39 = 14,469.54 : x
  2. Step 2: Convert to fraction form
    51,405.54/77,108.39 = 14,469.54/x
  3. Step 3: Cross multiply
    51,405.54x = 77,108.39 × 14,469.54
  4. Step 4: Simplify right side
    51,405.54x = 1,115,722,933.44
  5. Step 5: Solve for x
    x = 1,115,722,933.44/51,405.54
  6. Step 6: Final answer
    x = 21,704.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.