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Finding the Fourth Proportional to 50,031.42, 69,043.50 and 27,675.42

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Solution

The fourth proportional to 50,031.42, 69,043.50 and 27,675.42 is: 38,192.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,031.42 : 69,043.50 = 27,675.42 : x
  2. Step 2: Convert to fraction form
    50,031.42/69,043.50 = 27,675.42/x
  3. Step 3: Cross multiply
    50,031.42x = 69,043.50 × 27,675.42
  4. Step 4: Simplify right side
    50,031.42x = 1,910,807,860.77
  5. Step 5: Solve for x
    x = 1,910,807,860.77/50,031.42
  6. Step 6: Final answer
    x = 38,192.16

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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.