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Finding the Fourth Proportional to 57,084.53, 85,668.86 and 27,098.87

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Solution

The fourth proportional to 57,084.53, 85,668.86 and 27,098.87 is: 40,668.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,084.53 : 85,668.86 = 27,098.87 : x
  2. Step 2: Convert to fraction form
    57,084.53/85,668.86 = 27,098.87/x
  3. Step 3: Cross multiply
    57,084.53x = 85,668.86 × 27,098.87
  4. Step 4: Simplify right side
    57,084.53x = 2,321,529,164.69
  5. Step 5: Solve for x
    x = 2,321,529,164.69/57,084.53
  6. Step 6: Final answer
    x = 40,668.27

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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.