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Finding the Fourth Proportional to 73,806.74, 101,735.42 and 49,891.89

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Solution

The fourth proportional to 73,806.74, 101,735.42 and 49,891.89 is: 68,771.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,806.74 : 101,735.42 = 49,891.89 : x
  2. Step 2: Convert to fraction form
    73,806.74/101,735.42 = 49,891.89/x
  3. Step 3: Cross multiply
    73,806.74x = 101,735.42 × 49,891.89
  4. Step 4: Simplify right side
    73,806.74x = 5,075,772,134.28
  5. Step 5: Solve for x
    x = 5,075,772,134.28/73,806.74
  6. Step 6: Final answer
    x = 68,771.12

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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.