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Finding the Fourth Proportional to 50,862.52, 76,283.70 and 41,059

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Solution

The fourth proportional to 50,862.52, 76,283.70 and 41,059 is: 61,580.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,862.52 : 76,283.70 = 41,059 : x
  2. Step 2: Convert to fraction form
    50,862.52/76,283.70 = 41,059/x
  3. Step 3: Cross multiply
    50,862.52x = 76,283.70 × 41,059
  4. Step 4: Simplify right side
    50,862.52x = 3,132,132,438.30
  5. Step 5: Solve for x
    x = 3,132,132,438.30/50,862.52
  6. Step 6: Final answer
    x = 61,580.36

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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.