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Finding the Fourth Proportional to 78,083.80, 117,126.06 and 18,919.42

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Solution

The fourth proportional to 78,083.80, 117,126.06 and 18,919.42 is: 28,379.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,083.80 : 117,126.06 = 18,919.42 : x
  2. Step 2: Convert to fraction form
    78,083.80/117,126.06 = 18,919.42/x
  3. Step 3: Cross multiply
    78,083.80x = 117,126.06 × 18,919.42
  4. Step 4: Simplify right side
    78,083.80x = 2,215,957,122.09
  5. Step 5: Solve for x
    x = 2,215,957,122.09/78,083.80
  6. Step 6: Final answer
    x = 28,379.22

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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.