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Finding the Fourth Proportional to 83,103.22, 114,682.62 and 45,377.38

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Solution

The fourth proportional to 83,103.22, 114,682.62 and 45,377.38 is: 62,620.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,103.22 : 114,682.62 = 45,377.38 : x
  2. Step 2: Convert to fraction form
    83,103.22/114,682.62 = 45,377.38/x
  3. Step 3: Cross multiply
    83,103.22x = 114,682.62 × 45,377.38
  4. Step 4: Simplify right side
    83,103.22x = 5,203,996,827.14
  5. Step 5: Solve for x
    x = 5,203,996,827.14/83,103.22
  6. Step 6: Final answer
    x = 62,620.88

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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.