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Finding the Fourth Proportional to 34,234.50, 51,356.07 and 11,749.56

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Solution

The fourth proportional to 34,234.50, 51,356.07 and 11,749.56 is: 17,625.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,234.50 : 51,356.07 = 11,749.56 : x
  2. Step 2: Convert to fraction form
    34,234.50/51,356.07 = 11,749.56/x
  3. Step 3: Cross multiply
    34,234.50x = 51,356.07 × 11,749.56
  4. Step 4: Simplify right side
    34,234.50x = 603,411,225.83
  5. Step 5: Solve for x
    x = 603,411,225.83/34,234.50
  6. Step 6: Final answer
    x = 17,625.82

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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.