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Finding the Fourth Proportional to 35,271, 48,675.42 and 20,367

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Solution

The fourth proportional to 35,271, 48,675.42 and 20,367 is: 28,107.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,271 : 48,675.42 = 20,367 : x
  2. Step 2: Convert to fraction form
    35,271/48,675.42 = 20,367/x
  3. Step 3: Cross multiply
    35,271x = 48,675.42 × 20,367
  4. Step 4: Simplify right side
    35,271x = 991,372,279.14
  5. Step 5: Solve for x
    x = 991,372,279.14/35,271
  6. Step 6: Final answer
    x = 28,107.29

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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.