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Finding the Fourth Proportional to 55,033, 82,550.64 and 18,097

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Solution

The fourth proportional to 55,033, 82,550.64 and 18,097 is: 27,145.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,033 : 82,550.64 = 18,097 : x
  2. Step 2: Convert to fraction form
    55,033/82,550.64 = 18,097/x
  3. Step 3: Cross multiply
    55,033x = 82,550.64 × 18,097
  4. Step 4: Simplify right side
    55,033x = 1,493,918,932.08
  5. Step 5: Solve for x
    x = 1,493,918,932.08/55,033
  6. Step 6: Final answer
    x = 27,145.87

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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.