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Finding the Fourth Proportional to 51,131.90, 76,703.09 and 19,568.50

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Solution

The fourth proportional to 51,131.90, 76,703.09 and 19,568.50 is: 29,354.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,131.90 : 76,703.09 = 19,568.50 : x
  2. Step 2: Convert to fraction form
    51,131.90/76,703.09 = 19,568.50/x
  3. Step 3: Cross multiply
    51,131.90x = 76,703.09 × 19,568.50
  4. Step 4: Simplify right side
    51,131.90x = 1,500,964,558.52
  5. Step 5: Solve for x
    x = 1,500,964,558.52/51,131.90
  6. Step 6: Final answer
    x = 29,354.76

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