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Finding the Fourth Proportional to 47,807.48, 65,976.46 and 27,665.30

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Solution

The fourth proportional to 47,807.48, 65,976.46 and 27,665.30 is: 38,179.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,807.48 : 65,976.46 = 27,665.30 : x
  2. Step 2: Convert to fraction form
    47,807.48/65,976.46 = 27,665.30/x
  3. Step 3: Cross multiply
    47,807.48x = 65,976.46 × 27,665.30
  4. Step 4: Simplify right side
    47,807.48x = 1,825,258,558.84
  5. Step 5: Solve for x
    x = 1,825,258,558.84/47,807.48
  6. Step 6: Final answer
    x = 38,179.35

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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.