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Finding the Fourth Proportional to 49,185.47, 67,873.54 and 27,964.28

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Solution

The fourth proportional to 49,185.47, 67,873.54 and 27,964.28 is: 38,589.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,185.47 : 67,873.54 = 27,964.28 : x
  2. Step 2: Convert to fraction form
    49,185.47/67,873.54 = 27,964.28/x
  3. Step 3: Cross multiply
    49,185.47x = 67,873.54 × 27,964.28
  4. Step 4: Simplify right side
    49,185.47x = 1,898,034,677.15
  5. Step 5: Solve for x
    x = 1,898,034,677.15/49,185.47
  6. Step 6: Final answer
    x = 38,589.34

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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.