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Finding the Fourth Proportional to 20,078.45, 30,112.42 and 6,034.72

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Solution

The fourth proportional to 20,078.45, 30,112.42 and 6,034.72 is: 9,050.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,078.45 : 30,112.42 = 6,034.72 : x
  2. Step 2: Convert to fraction form
    20,078.45/30,112.42 = 6,034.72/x
  3. Step 3: Cross multiply
    20,078.45x = 30,112.42 × 6,034.72
  4. Step 4: Simplify right side
    20,078.45x = 181,720,023.22
  5. Step 5: Solve for x
    x = 181,720,023.22/20,078.45
  6. Step 6: Final answer
    x = 9,050.50

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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.