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Finding the Fourth Proportional to 80,257.86, 110,774.25 and 53,401.50

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Solution

The fourth proportional to 80,257.86, 110,774.25 and 53,401.50 is: 73,706.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,257.86 : 110,774.25 = 53,401.50 : x
  2. Step 2: Convert to fraction form
    80,257.86/110,774.25 = 53,401.50/x
  3. Step 3: Cross multiply
    80,257.86x = 110,774.25 × 53,401.50
  4. Step 4: Simplify right side
    80,257.86x = 5,915,511,111.38
  5. Step 5: Solve for x
    x = 5,915,511,111.38/80,257.86
  6. Step 6: Final answer
    x = 73,706.32

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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.