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Finding the Fourth Proportional to 50,422.38, 69,584.56 and 27,762.48

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Solution

The fourth proportional to 50,422.38, 69,584.56 and 27,762.48 is: 38,313.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,422.38 : 69,584.56 = 27,762.48 : x
  2. Step 2: Convert to fraction form
    50,422.38/69,584.56 = 27,762.48/x
  3. Step 3: Cross multiply
    50,422.38x = 69,584.56 × 27,762.48
  4. Step 4: Simplify right side
    50,422.38x = 1,931,839,955.31
  5. Step 5: Solve for x
    x = 1,931,839,955.31/50,422.38
  6. Step 6: Final answer
    x = 38,313.14

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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.