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Finding the Fourth Proportional to 57,794.56, 86,745.60 and 22,758.40

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Solution

The fourth proportional to 57,794.56, 86,745.60 and 22,758.40 is: 34,158.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,794.56 : 86,745.60 = 22,758.40 : x
  2. Step 2: Convert to fraction form
    57,794.56/86,745.60 = 22,758.40/x
  3. Step 3: Cross multiply
    57,794.56x = 86,745.60 × 22,758.40
  4. Step 4: Simplify right side
    57,794.56x = 1,974,191,063.04
  5. Step 5: Solve for x
    x = 1,974,191,063.04/57,794.56
  6. Step 6: Final answer
    x = 34,158.77

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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.