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Finding the Fourth Proportional to 34,604.87, 51,907.32 and 9,644.99

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Solution

The fourth proportional to 34,604.87, 51,907.32 and 9,644.99 is: 14,467.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,604.87 : 51,907.32 = 9,644.99 : x
  2. Step 2: Convert to fraction form
    34,604.87/51,907.32 = 9,644.99/x
  3. Step 3: Cross multiply
    34,604.87x = 51,907.32 × 9,644.99
  4. Step 4: Simplify right side
    34,604.87x = 500,645,322.79
  5. Step 5: Solve for x
    x = 500,645,322.79/34,604.87
  6. Step 6: Final answer
    x = 14,467.48

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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.