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Finding the Fourth Proportional to 103,743.84, 155,630.16 and 33,600.48

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Solution

The fourth proportional to 103,743.84, 155,630.16 and 33,600.48 is: 50,405.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,743.84 : 155,630.16 = 33,600.48 : x
  2. Step 2: Convert to fraction form
    103,743.84/155,630.16 = 33,600.48/x
  3. Step 3: Cross multiply
    103,743.84x = 155,630.16 × 33,600.48
  4. Step 4: Simplify right side
    103,743.84x = 5,229,248,078.48
  5. Step 5: Solve for x
    x = 5,229,248,078.48/103,743.84
  6. Step 6: Final answer
    x = 50,405.38

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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.