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Finding the Fourth Proportional to 34,828.96, 52,243.44 and 8,533.48

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Solution

The fourth proportional to 34,828.96, 52,243.44 and 8,533.48 is: 12,800.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,828.96 : 52,243.44 = 8,533.48 : x
  2. Step 2: Convert to fraction form
    34,828.96/52,243.44 = 8,533.48/x
  3. Step 3: Cross multiply
    34,828.96x = 52,243.44 × 8,533.48
  4. Step 4: Simplify right side
    34,828.96x = 445,818,198.78
  5. Step 5: Solve for x
    x = 445,818,198.78/34,828.96
  6. Step 6: Final answer
    x = 12,800.21

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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.