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Finding the Fourth Proportional to 47,797.08, 65,966.57 and 27,665.74

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Solution

The fourth proportional to 47,797.08, 65,966.57 and 27,665.74 is: 38,182.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,797.08 : 65,966.57 = 27,665.74 : x
  2. Step 2: Convert to fraction form
    47,797.08/65,966.57 = 27,665.74/x
  3. Step 3: Cross multiply
    47,797.08x = 65,966.57 × 27,665.74
  4. Step 4: Simplify right side
    47,797.08x = 1,825,013,974.31
  5. Step 5: Solve for x
    x = 1,825,013,974.31/47,797.08
  6. Step 6: Final answer
    x = 38,182.54

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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.