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Finding the Fourth Proportional to 81,763.20, 112,813.44 and 47,752.38

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Solution

The fourth proportional to 81,763.20, 112,813.44 and 47,752.38 is: 65,886.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,763.20 : 112,813.44 = 47,752.38 : x
  2. Step 2: Convert to fraction form
    81,763.20/112,813.44 = 47,752.38/x
  3. Step 3: Cross multiply
    81,763.20x = 112,813.44 × 47,752.38
  4. Step 4: Simplify right side
    81,763.20x = 5,387,110,255.99
  5. Step 5: Solve for x
    x = 5,387,110,255.99/81,763.20
  6. Step 6: Final answer
    x = 65,886.73

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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.