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Finding the Fourth Proportional to 123,783.33, 185,682.29 and 35,029.47

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Solution

The fourth proportional to 123,783.33, 185,682.29 and 35,029.47 is: 52,546.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,783.33 : 185,682.29 = 35,029.47 : x
  2. Step 2: Convert to fraction form
    123,783.33/185,682.29 = 35,029.47/x
  3. Step 3: Cross multiply
    123,783.33x = 185,682.29 × 35,029.47
  4. Step 4: Simplify right side
    123,783.33x = 6,504,352,031.94
  5. Step 5: Solve for x
    x = 6,504,352,031.94/123,783.33
  6. Step 6: Final answer
    x = 52,546.27

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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.