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Finding the Fourth Proportional to 73,749.76, 110,469.10 and 50,071.84

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Solution

The fourth proportional to 73,749.76, 110,469.10 and 50,071.84 is: 75,002.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,749.76 : 110,469.10 = 50,071.84 : x
  2. Step 2: Convert to fraction form
    73,749.76/110,469.10 = 50,071.84/x
  3. Step 3: Cross multiply
    73,749.76x = 110,469.10 × 50,071.84
  4. Step 4: Simplify right side
    73,749.76x = 5,531,391,100.14
  5. Step 5: Solve for x
    x = 5,531,391,100.14/73,749.76
  6. Step 6: Final answer
    x = 75,002.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.