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Finding the Fourth Proportional to 51,998.96, 71,739.33 and 34,103.90

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Solution

The fourth proportional to 51,998.96, 71,739.33 and 34,103.90 is: 47,050.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,998.96 : 71,739.33 = 34,103.90 : x
  2. Step 2: Convert to fraction form
    51,998.96/71,739.33 = 34,103.90/x
  3. Step 3: Cross multiply
    51,998.96x = 71,739.33 × 34,103.90
  4. Step 4: Simplify right side
    51,998.96x = 2,446,590,987.85
  5. Step 5: Solve for x
    x = 2,446,590,987.85/51,998.96
  6. Step 6: Final answer
    x = 47,050.77

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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.