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Finding the Fourth Proportional to 34,454.10, 51,674.31 and 9,487.68

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Solution

The fourth proportional to 34,454.10, 51,674.31 and 9,487.68 is: 14,229.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,454.10 : 51,674.31 = 9,487.68 : x
  2. Step 2: Convert to fraction form
    34,454.10/51,674.31 = 9,487.68/x
  3. Step 3: Cross multiply
    34,454.10x = 51,674.31 × 9,487.68
  4. Step 4: Simplify right side
    34,454.10x = 490,269,317.50
  5. Step 5: Solve for x
    x = 490,269,317.50/34,454.10
  6. Step 6: Final answer
    x = 14,229.64

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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.