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Finding the Fourth Proportional to 34,186, 51,280.92 and 9,563.92

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Solution

The fourth proportional to 34,186, 51,280.92 and 9,563.92 is: 14,346.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,186 : 51,280.92 = 9,563.92 : x
  2. Step 2: Convert to fraction form
    34,186/51,280.92 = 9,563.92/x
  3. Step 3: Cross multiply
    34,186x = 51,280.92 × 9,563.92
  4. Step 4: Simplify right side
    34,186x = 490,446,616.41
  5. Step 5: Solve for x
    x = 490,446,616.41/34,186
  6. Step 6: Final answer
    x = 14,346.42

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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.