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Finding the Fourth Proportional to 55,080.99, 82,624.62 and 15,635

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Solution

The fourth proportional to 55,080.99, 82,624.62 and 15,635 is: 23,453.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,080.99 : 82,624.62 = 15,635 : x
  2. Step 2: Convert to fraction form
    55,080.99/82,624.62 = 15,635/x
  3. Step 3: Cross multiply
    55,080.99x = 82,624.62 × 15,635
  4. Step 4: Simplify right side
    55,080.99x = 1,291,835,933.70
  5. Step 5: Solve for x
    x = 1,291,835,933.70/55,080.99
  6. Step 6: Final answer
    x = 23,453.39

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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.