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Finding the Fourth Proportional to 81,819.38, 112,912.28 and 47,830.77

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Solution

The fourth proportional to 81,819.38, 112,912.28 and 47,830.77 is: 66,007.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,819.38 : 112,912.28 = 47,830.77 : x
  2. Step 2: Convert to fraction form
    81,819.38/112,912.28 = 47,830.77/x
  3. Step 3: Cross multiply
    81,819.38x = 112,912.28 × 47,830.77
  4. Step 4: Simplify right side
    81,819.38x = 5,400,681,235.07
  5. Step 5: Solve for x
    x = 5,400,681,235.07/81,819.38
  6. Step 6: Final answer
    x = 66,007.36

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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.