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Finding the Fourth Proportional to 57,209.79, 85,735.71 and 41,287.89

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Solution

The fourth proportional to 57,209.79, 85,735.71 and 41,287.89 is: 61,874.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,209.79 : 85,735.71 = 41,287.89 : x
  2. Step 2: Convert to fraction form
    57,209.79/85,735.71 = 41,287.89/x
  3. Step 3: Cross multiply
    57,209.79x = 85,735.71 × 41,287.89
  4. Step 4: Simplify right side
    57,209.79x = 3,539,846,563.55
  5. Step 5: Solve for x
    x = 3,539,846,563.55/57,209.79
  6. Step 6: Final answer
    x = 61,874.84

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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.