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Finding the Fourth Proportional to 49,582.38, 68,400.78 and 29,427.82

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Solution

The fourth proportional to 49,582.38, 68,400.78 and 29,427.82 is: 40,596.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,582.38 : 68,400.78 = 29,427.82 : x
  2. Step 2: Convert to fraction form
    49,582.38/68,400.78 = 29,427.82/x
  3. Step 3: Cross multiply
    49,582.38x = 68,400.78 × 29,427.82
  4. Step 4: Simplify right side
    49,582.38x = 2,012,885,841.70
  5. Step 5: Solve for x
    x = 2,012,885,841.70/49,582.38
  6. Step 6: Final answer
    x = 40,596.80

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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.