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Finding the Fourth Proportional to 20,078.19, 30,104.19 and 10,203.75

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Solution

The fourth proportional to 20,078.19, 30,104.19 and 10,203.75 is: 15,298.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,078.19 : 30,104.19 = 10,203.75 : x
  2. Step 2: Convert to fraction form
    20,078.19/30,104.19 = 10,203.75/x
  3. Step 3: Cross multiply
    20,078.19x = 30,104.19 × 10,203.75
  4. Step 4: Simplify right side
    20,078.19x = 307,175,628.71
  5. Step 5: Solve for x
    x = 307,175,628.71/20,078.19
  6. Step 6: Final answer
    x = 15,298.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.