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Finding the Fourth Proportional to 50,309.22, 69,426.54 and 27,649.74

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Solution

The fourth proportional to 50,309.22, 69,426.54 and 27,649.74 is: 38,156.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,309.22 : 69,426.54 = 27,649.74 : x
  2. Step 2: Convert to fraction form
    50,309.22/69,426.54 = 27,649.74/x
  3. Step 3: Cross multiply
    50,309.22x = 69,426.54 × 27,649.74
  4. Step 4: Simplify right side
    50,309.22x = 1,919,625,780.10
  5. Step 5: Solve for x
    x = 1,919,625,780.10/50,309.22
  6. Step 6: Final answer
    x = 38,156.54

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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.