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Finding the Fourth Proportional to 34,797.63, 52,189.89 and 9,837.48

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Solution

The fourth proportional to 34,797.63, 52,189.89 and 9,837.48 is: 14,754.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,797.63 : 52,189.89 = 9,837.48 : x
  2. Step 2: Convert to fraction form
    34,797.63/52,189.89 = 9,837.48/x
  3. Step 3: Cross multiply
    34,797.63x = 52,189.89 × 9,837.48
  4. Step 4: Simplify right side
    34,797.63x = 513,416,949.89
  5. Step 5: Solve for x
    x = 513,416,949.89/34,797.63
  6. Step 6: Final answer
    x = 14,754.37

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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.