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Finding the Fourth Proportional to 50,430.22, 69,593.11 and 27,768.74

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Solution

The fourth proportional to 50,430.22, 69,593.11 and 27,768.74 is: 38,320.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,430.22 : 69,593.11 = 27,768.74 : x
  2. Step 2: Convert to fraction form
    50,430.22/69,593.11 = 27,768.74/x
  3. Step 3: Cross multiply
    50,430.22x = 69,593.11 × 27,768.74
  4. Step 4: Simplify right side
    50,430.22x = 1,932,512,977.38
  5. Step 5: Solve for x
    x = 1,932,512,977.38/50,430.22
  6. Step 6: Final answer
    x = 38,320.53

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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.