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Finding the Fourth Proportional to 49,668.78, 68,541.03 and 27,007.80

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Solution

The fourth proportional to 49,668.78, 68,541.03 and 27,007.80 is: 37,269.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,668.78 : 68,541.03 = 27,007.80 : x
  2. Step 2: Convert to fraction form
    49,668.78/68,541.03 = 27,007.80/x
  3. Step 3: Cross multiply
    49,668.78x = 68,541.03 × 27,007.80
  4. Step 4: Simplify right side
    49,668.78x = 1,851,142,430.03
  5. Step 5: Solve for x
    x = 1,851,142,430.03/49,668.78
  6. Step 6: Final answer
    x = 37,269.74

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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.