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Finding the Fourth Proportional to 34,234.50, 51,346.96 and 11,744.81

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Solution

The fourth proportional to 34,234.50, 51,346.96 and 11,744.81 is: 17,615.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,234.50 : 51,346.96 = 11,744.81 : x
  2. Step 2: Convert to fraction form
    34,234.50/51,346.96 = 11,744.81/x
  3. Step 3: Cross multiply
    34,234.50x = 51,346.96 × 11,744.81
  4. Step 4: Simplify right side
    34,234.50x = 603,060,051.32
  5. Step 5: Solve for x
    x = 603,060,051.32/34,234.50
  6. Step 6: Final answer
    x = 17,615.56

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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.