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Finding the Fourth Proportional to 20,065, 30,099.02 and 6,023.94

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Solution

The fourth proportional to 20,065, 30,099.02 and 6,023.94 is: 9,036.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,065 : 30,099.02 = 6,023.94 : x
  2. Step 2: Convert to fraction form
    20,065/30,099.02 = 6,023.94/x
  3. Step 3: Cross multiply
    20,065x = 30,099.02 × 6,023.94
  4. Step 4: Simplify right side
    20,065x = 181,314,690.54
  5. Step 5: Solve for x
    x = 181,314,690.54/20,065
  6. Step 6: Final answer
    x = 9,036.37

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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.