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Finding the Fourth Proportional to 102,992.92, 154,429.84 and 31,896.59

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Solution

The fourth proportional to 102,992.92, 154,429.84 and 31,896.59 is: 47,826.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,992.92 : 154,429.84 = 31,896.59 : x
  2. Step 2: Convert to fraction form
    102,992.92/154,429.84 = 31,896.59/x
  3. Step 3: Cross multiply
    102,992.92x = 154,429.84 × 31,896.59
  4. Step 4: Simplify right side
    102,992.92x = 4,925,784,557.97
  5. Step 5: Solve for x
    x = 4,925,784,557.97/102,992.92
  6. Step 6: Final answer
    x = 47,826.44

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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.