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Finding the Fourth Proportional to 47,816, 65,986.08 and 27,944

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Solution

The fourth proportional to 47,816, 65,986.08 and 27,944 is: 38,562.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,816 : 65,986.08 = 27,944 : x
  2. Step 2: Convert to fraction form
    47,816/65,986.08 = 27,944/x
  3. Step 3: Cross multiply
    47,816x = 65,986.08 × 27,944
  4. Step 4: Simplify right side
    47,816x = 1,843,915,019.52
  5. Step 5: Solve for x
    x = 1,843,915,019.52/47,816
  6. Step 6: Final answer
    x = 38,562.72

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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.