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Finding the Fourth Proportional to 52,855.38, 72,939.84 and 28,982

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Solution

The fourth proportional to 52,855.38, 72,939.84 and 28,982 is: 39,994.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,855.38 : 72,939.84 = 28,982 : x
  2. Step 2: Convert to fraction form
    52,855.38/72,939.84 = 28,982/x
  3. Step 3: Cross multiply
    52,855.38x = 72,939.84 × 28,982
  4. Step 4: Simplify right side
    52,855.38x = 2,113,942,442.88
  5. Step 5: Solve for x
    x = 2,113,942,442.88/52,855.38
  6. Step 6: Final answer
    x = 39,994.84

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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.