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Finding the Fourth Proportional to 50,419.38, 69,580.42 and 27,759.48

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Solution

The fourth proportional to 50,419.38, 69,580.42 and 27,759.48 is: 38,309.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,419.38 : 69,580.42 = 27,759.48 : x
  2. Step 2: Convert to fraction form
    50,419.38/69,580.42 = 27,759.48/x
  3. Step 3: Cross multiply
    50,419.38x = 69,580.42 × 27,759.48
  4. Step 4: Simplify right side
    50,419.38x = 1,931,516,277.38
  5. Step 5: Solve for x
    x = 1,931,516,277.38/50,419.38
  6. Step 6: Final answer
    x = 38,309.00

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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.