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Finding the Fourth Proportional to 49,169.76, 67,851.60 and 27,946.08

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Solution

The fourth proportional to 49,169.76, 67,851.60 and 27,946.08 is: 38,564.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,169.76 : 67,851.60 = 27,946.08 : x
  2. Step 2: Convert to fraction form
    49,169.76/67,851.60 = 27,946.08/x
  3. Step 3: Cross multiply
    49,169.76x = 67,851.60 × 27,946.08
  4. Step 4: Simplify right side
    49,169.76x = 1,896,186,241.73
  5. Step 5: Solve for x
    x = 1,896,186,241.73/49,169.76
  6. Step 6: Final answer
    x = 38,564.07

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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.