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Finding the Fourth Proportional to 56,696.20, 84,941.90 and 50,142.60

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Solution

The fourth proportional to 56,696.20, 84,941.90 and 50,142.60 is: 75,123.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,696.20 : 84,941.90 = 50,142.60 : x
  2. Step 2: Convert to fraction form
    56,696.20/84,941.90 = 50,142.60/x
  3. Step 3: Cross multiply
    56,696.20x = 84,941.90 × 50,142.60
  4. Step 4: Simplify right side
    56,696.20x = 4,259,207,714.94
  5. Step 5: Solve for x
    x = 4,259,207,714.94/56,696.20
  6. Step 6: Final answer
    x = 75,123.34

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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.