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Finding the Fourth Proportional to 73,186.75, 100,999.67 and 41,354.96

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Solution

The fourth proportional to 73,186.75, 100,999.67 and 41,354.96 is: 57,070.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,186.75 : 100,999.67 = 41,354.96 : x
  2. Step 2: Convert to fraction form
    73,186.75/100,999.67 = 41,354.96/x
  3. Step 3: Cross multiply
    73,186.75x = 100,999.67 × 41,354.96
  4. Step 4: Simplify right side
    73,186.75x = 4,176,837,312.86
  5. Step 5: Solve for x
    x = 4,176,837,312.86/73,186.75
  6. Step 6: Final answer
    x = 57,070.95

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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.