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Finding the Fourth Proportional to 49,578.62, 68,398.71 and 31,668.98

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Solution

The fourth proportional to 49,578.62, 68,398.71 and 31,668.98 is: 43,690.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,578.62 : 68,398.71 = 31,668.98 : x
  2. Step 2: Convert to fraction form
    49,578.62/68,398.71 = 31,668.98/x
  3. Step 3: Cross multiply
    49,578.62x = 68,398.71 × 31,668.98
  4. Step 4: Simplify right side
    49,578.62x = 2,166,117,379.02
  5. Step 5: Solve for x
    x = 2,166,117,379.02/49,578.62
  6. Step 6: Final answer
    x = 43,690.55

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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.