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Finding the Fourth Proportional to 57,140.57, 85,766.14 and 27,579.21

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Solution

The fourth proportional to 57,140.57, 85,766.14 and 27,579.21 is: 41,395.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,140.57 : 85,766.14 = 27,579.21 : x
  2. Step 2: Convert to fraction form
    57,140.57/85,766.14 = 27,579.21/x
  3. Step 3: Cross multiply
    57,140.57x = 85,766.14 × 27,579.21
  4. Step 4: Simplify right side
    57,140.57x = 2,365,362,385.95
  5. Step 5: Solve for x
    x = 2,365,362,385.95/57,140.57
  6. Step 6: Final answer
    x = 41,395.50

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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.