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Finding the Fourth Proportional to 50,486.96, 69,676.01 and 27,829.98

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Solution

The fourth proportional to 50,486.96, 69,676.01 and 27,829.98 is: 38,407.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,486.96 : 69,676.01 = 27,829.98 : x
  2. Step 2: Convert to fraction form
    50,486.96/69,676.01 = 27,829.98/x
  3. Step 3: Cross multiply
    50,486.96x = 69,676.01 × 27,829.98
  4. Step 4: Simplify right side
    50,486.96x = 1,939,081,964.78
  5. Step 5: Solve for x
    x = 1,939,081,964.78/50,486.96
  6. Step 6: Final answer
    x = 38,407.58

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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.