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Finding the Fourth Proportional to 50,367.50, 69,508.68 and 27,705.32

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Solution

The fourth proportional to 50,367.50, 69,508.68 and 27,705.32 is: 38,234.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,367.50 : 69,508.68 = 27,705.32 : x
  2. Step 2: Convert to fraction form
    50,367.50/69,508.68 = 27,705.32/x
  3. Step 3: Cross multiply
    50,367.50x = 69,508.68 × 27,705.32
  4. Step 4: Simplify right side
    50,367.50x = 1,925,760,222.18
  5. Step 5: Solve for x
    x = 1,925,760,222.18/50,367.50
  6. Step 6: Final answer
    x = 38,234.18

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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.