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Finding the Fourth Proportional to 52,284, 78,381.90 and 22,679.54

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Solution

The fourth proportional to 52,284, 78,381.90 and 22,679.54 is: 34,000.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,284 : 78,381.90 = 22,679.54 : x
  2. Step 2: Convert to fraction form
    52,284/78,381.90 = 22,679.54/x
  3. Step 3: Cross multiply
    52,284x = 78,381.90 × 22,679.54
  4. Step 4: Simplify right side
    52,284x = 1,777,665,436.33
  5. Step 5: Solve for x
    x = 1,777,665,436.33/52,284
  6. Step 6: Final answer
    x = 34,000.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.