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Finding the Fourth Proportional to 73,678.75, 110,483.14 and 33,685.87

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Solution

The fourth proportional to 73,678.75, 110,483.14 and 33,685.87 is: 50,512.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,678.75 : 110,483.14 = 33,685.87 : x
  2. Step 2: Convert to fraction form
    73,678.75/110,483.14 = 33,685.87/x
  3. Step 3: Cross multiply
    73,678.75x = 110,483.14 × 33,685.87
  4. Step 4: Simplify right side
    73,678.75x = 3,721,720,173.87
  5. Step 5: Solve for x
    x = 3,721,720,173.87/73,678.75
  6. Step 6: Final answer
    x = 50,512.80

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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.