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Finding the Fourth Proportional to 50,032.08, 69,043.32 and 27,676.08

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Solution

The fourth proportional to 50,032.08, 69,043.32 and 27,676.08 is: 38,192.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,032.08 : 69,043.32 = 27,676.08 : x
  2. Step 2: Convert to fraction form
    50,032.08/69,043.32 = 27,676.08/x
  3. Step 3: Cross multiply
    50,032.08x = 69,043.32 × 27,676.08
  4. Step 4: Simplify right side
    50,032.08x = 1,910,848,447.79
  5. Step 5: Solve for x
    x = 1,910,848,447.79/50,032.08
  6. Step 6: Final answer
    x = 38,192.46

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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.