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Finding the Fourth Proportional to 35,882.37, 53,819.33 and 9,589.14

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Solution

The fourth proportional to 35,882.37, 53,819.33 and 9,589.14 is: 14,382.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,882.37 : 53,819.33 = 9,589.14 : x
  2. Step 2: Convert to fraction form
    35,882.37/53,819.33 = 9,589.14/x
  3. Step 3: Cross multiply
    35,882.37x = 53,819.33 × 9,589.14
  4. Step 4: Simplify right side
    35,882.37x = 516,081,042.13
  5. Step 5: Solve for x
    x = 516,081,042.13/35,882.37
  6. Step 6: Final answer
    x = 14,382.58

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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.