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Finding the Fourth Proportional to 73,084.98, 100,876.77 and 41,272.50

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Solution

The fourth proportional to 73,084.98, 100,876.77 and 41,272.50 is: 56,967.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,084.98 : 100,876.77 = 41,272.50 : x
  2. Step 2: Convert to fraction form
    73,084.98/100,876.77 = 41,272.50/x
  3. Step 3: Cross multiply
    73,084.98x = 100,876.77 × 41,272.50
  4. Step 4: Simplify right side
    73,084.98x = 4,163,436,489.83
  5. Step 5: Solve for x
    x = 4,163,436,489.83/73,084.98
  6. Step 6: Final answer
    x = 56,967.06

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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.