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Finding the Fourth Proportional to 81,806.45, 112,855.00 and 47,816.38

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Solution

The fourth proportional to 81,806.45, 112,855.00 and 47,816.38 is: 65,964.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,806.45 : 112,855.00 = 47,816.38 : x
  2. Step 2: Convert to fraction form
    81,806.45/112,855.00 = 47,816.38/x
  3. Step 3: Cross multiply
    81,806.45x = 112,855.00 × 47,816.38
  4. Step 4: Simplify right side
    81,806.45x = 5,396,316,761.54
  5. Step 5: Solve for x
    x = 5,396,316,761.54/81,806.45
  6. Step 6: Final answer
    x = 65,964.44

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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.