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Finding the Fourth Proportional to 81,882.70, 113,000.33 and 46,073.98

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Solution

The fourth proportional to 81,882.70, 113,000.33 and 46,073.98 is: 63,583.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,882.70 : 113,000.33 = 46,073.98 : x
  2. Step 2: Convert to fraction form
    81,882.70/113,000.33 = 46,073.98/x
  3. Step 3: Cross multiply
    81,882.70x = 113,000.33 × 46,073.98
  4. Step 4: Simplify right side
    81,882.70x = 5,206,375,059.60
  5. Step 5: Solve for x
    x = 5,206,375,059.60/81,882.70
  6. Step 6: Final answer
    x = 63,583.33

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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.