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Finding the Fourth Proportional to 49,489.90, 74,251.14 and 32,915.14

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Solution

The fourth proportional to 49,489.90, 74,251.14 and 32,915.14 is: 49,383.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,489.90 : 74,251.14 = 32,915.14 : x
  2. Step 2: Convert to fraction form
    49,489.90/74,251.14 = 32,915.14/x
  3. Step 3: Cross multiply
    49,489.90x = 74,251.14 × 32,915.14
  4. Step 4: Simplify right side
    49,489.90x = 2,443,986,668.26
  5. Step 5: Solve for x
    x = 2,443,986,668.26/49,489.90
  6. Step 6: Final answer
    x = 49,383.54

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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.