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Finding the Fourth Proportional to 50,474.42, 69,657.78 and 27,813.42

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Solution

The fourth proportional to 50,474.42, 69,657.78 and 27,813.42 is: 38,384.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,474.42 : 69,657.78 = 27,813.42 : x
  2. Step 2: Convert to fraction form
    50,474.42/69,657.78 = 27,813.42/x
  3. Step 3: Cross multiply
    50,474.42x = 69,657.78 × 27,813.42
  4. Step 4: Simplify right side
    50,474.42x = 1,937,421,195.71
  5. Step 5: Solve for x
    x = 1,937,421,195.71/50,474.42
  6. Step 6: Final answer
    x = 38,384.22

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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.