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Finding the Fourth Proportional to 47,806.92, 65,969.64 and 27,665.19

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Solution

The fourth proportional to 47,806.92, 65,969.64 and 27,665.19 is: 38,175.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,806.92 : 65,969.64 = 27,665.19 : x
  2. Step 2: Convert to fraction form
    47,806.92/65,969.64 = 27,665.19/x
  3. Step 3: Cross multiply
    47,806.92x = 65,969.64 × 27,665.19
  4. Step 4: Simplify right side
    47,806.92x = 1,825,062,624.83
  5. Step 5: Solve for x
    x = 1,825,062,624.83/47,806.92
  6. Step 6: Final answer
    x = 38,175.70

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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.