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Finding the Fourth Proportional to 50,362.76, 69,502.32 and 27,703.44

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Solution

The fourth proportional to 50,362.76, 69,502.32 and 27,703.44 is: 38,231.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,362.76 : 69,502.32 = 27,703.44 : x
  2. Step 2: Convert to fraction form
    50,362.76/69,502.32 = 27,703.44/x
  3. Step 3: Cross multiply
    50,362.76x = 69,502.32 × 27,703.44
  4. Step 4: Simplify right side
    50,362.76x = 1,925,453,351.98
  5. Step 5: Solve for x
    x = 1,925,453,351.98/50,362.76
  6. Step 6: Final answer
    x = 38,231.69

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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.