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Finding the Fourth Proportional to 78,161.85, 107,858.25 and 49,864.50

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Solution

The fourth proportional to 78,161.85, 107,858.25 and 49,864.50 is: 68,809.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,161.85 : 107,858.25 = 49,864.50 : x
  2. Step 2: Convert to fraction form
    78,161.85/107,858.25 = 49,864.50/x
  3. Step 3: Cross multiply
    78,161.85x = 107,858.25 × 49,864.50
  4. Step 4: Simplify right side
    78,161.85x = 5,378,297,707.13
  5. Step 5: Solve for x
    x = 5,378,297,707.13/78,161.85
  6. Step 6: Final answer
    x = 68,809.75

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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.