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Finding the Fourth Proportional to 82,934.91, 114,452.63 and 47,126.43

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Solution

The fourth proportional to 82,934.91, 114,452.63 and 47,126.43 is: 65,035.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,934.91 : 114,452.63 = 47,126.43 : x
  2. Step 2: Convert to fraction form
    82,934.91/114,452.63 = 47,126.43/x
  3. Step 3: Cross multiply
    82,934.91x = 114,452.63 × 47,126.43
  4. Step 4: Simplify right side
    82,934.91x = 5,393,743,620.38
  5. Step 5: Solve for x
    x = 5,393,743,620.38/82,934.91
  6. Step 6: Final answer
    x = 65,035.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.