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Finding the Fourth Proportional to 51,297.25, 76,950.20 and 14,361.25

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Solution

The fourth proportional to 51,297.25, 76,950.20 and 14,361.25 is: 21,543.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,297.25 : 76,950.20 = 14,361.25 : x
  2. Step 2: Convert to fraction form
    51,297.25/76,950.20 = 14,361.25/x
  3. Step 3: Cross multiply
    51,297.25x = 76,950.20 × 14,361.25
  4. Step 4: Simplify right side
    51,297.25x = 1,105,101,059.75
  5. Step 5: Solve for x
    x = 1,105,101,059.75/51,297.25
  6. Step 6: Final answer
    x = 21,543.09

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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.