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Finding the Fourth Proportional to 81,763.27, 112,823.23 and 47,313.92

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Solution

The fourth proportional to 81,763.27, 112,823.23 and 47,313.92 is: 65,287.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,763.27 : 112,823.23 = 47,313.92 : x
  2. Step 2: Convert to fraction form
    81,763.27/112,823.23 = 47,313.92/x
  3. Step 3: Cross multiply
    81,763.27x = 112,823.23 × 47,313.92
  4. Step 4: Simplify right side
    81,763.27x = 5,338,109,530.85
  5. Step 5: Solve for x
    x = 5,338,109,530.85/81,763.27
  6. Step 6: Final answer
    x = 65,287.38

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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.