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Finding the Fourth Proportional to 50,490.66, 69,676.72 and 27,829.69

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Solution

The fourth proportional to 50,490.66, 69,676.72 and 27,829.69 is: 38,404.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,490.66 : 69,676.72 = 27,829.69 : x
  2. Step 2: Convert to fraction form
    50,490.66/69,676.72 = 27,829.69/x
  3. Step 3: Cross multiply
    50,490.66x = 69,676.72 × 27,829.69
  4. Step 4: Simplify right side
    50,490.66x = 1,939,081,822.52
  5. Step 5: Solve for x
    x = 1,939,081,822.52/50,490.66
  6. Step 6: Final answer
    x = 38,404.76

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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.