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Finding the Fourth Proportional to 49,751.96, 68,657.02 and 27,091.19

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Solution

The fourth proportional to 49,751.96, 68,657.02 and 27,091.19 is: 37,385.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,751.96 : 68,657.02 = 27,091.19 : x
  2. Step 2: Convert to fraction form
    49,751.96/68,657.02 = 27,091.19/x
  3. Step 3: Cross multiply
    49,751.96x = 68,657.02 × 27,091.19
  4. Step 4: Simplify right side
    49,751.96x = 1,860,000,477.57
  5. Step 5: Solve for x
    x = 1,860,000,477.57/49,751.96
  6. Step 6: Final answer
    x = 37,385.48

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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.