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Finding the Fourth Proportional to 45,400.43, 62,654.61 and 37,834.09

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Solution

The fourth proportional to 45,400.43, 62,654.61 and 37,834.09 is: 52,212.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,400.43 : 62,654.61 = 37,834.09 : x
  2. Step 2: Convert to fraction form
    45,400.43/62,654.61 = 37,834.09/x
  3. Step 3: Cross multiply
    45,400.43x = 62,654.61 × 37,834.09
  4. Step 4: Simplify right side
    45,400.43x = 2,370,479,840.38
  5. Step 5: Solve for x
    x = 2,370,479,840.38/45,400.43
  6. Step 6: Final answer
    x = 52,212.72

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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.