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Finding the Fourth Proportional to 81,874.28, 122,810.94 and 22,709.32

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Solution

The fourth proportional to 81,874.28, 122,810.94 and 22,709.32 is: 34,063.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,874.28 : 122,810.94 = 22,709.32 : x
  2. Step 2: Convert to fraction form
    81,874.28/122,810.94 = 22,709.32/x
  3. Step 3: Cross multiply
    81,874.28x = 122,810.94 × 22,709.32
  4. Step 4: Simplify right side
    81,874.28x = 2,788,952,935.96
  5. Step 5: Solve for x
    x = 2,788,952,935.96/81,874.28
  6. Step 6: Final answer
    x = 34,063.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.