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Finding the Fourth Proportional to 25,078.97, 37,620.44 and 8,438.87

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Solution

The fourth proportional to 25,078.97, 37,620.44 and 8,438.87 is: 12,658.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,078.97 : 37,620.44 = 8,438.87 : x
  2. Step 2: Convert to fraction form
    25,078.97/37,620.44 = 8,438.87/x
  3. Step 3: Cross multiply
    25,078.97x = 37,620.44 × 8,438.87
  4. Step 4: Simplify right side
    25,078.97x = 317,474,002.50
  5. Step 5: Solve for x
    x = 317,474,002.50/25,078.97
  6. Step 6: Final answer
    x = 12,658.97

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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.