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Finding the Fourth Proportional to 123,796.28, 185,673.74 and 35,027.79

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Solution

The fourth proportional to 123,796.28, 185,673.74 and 35,027.79 is: 52,535.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,796.28 : 185,673.74 = 35,027.79 : x
  2. Step 2: Convert to fraction form
    123,796.28/185,673.74 = 35,027.79/x
  3. Step 3: Cross multiply
    123,796.28x = 185,673.74 × 35,027.79
  4. Step 4: Simplify right side
    123,796.28x = 6,503,740,598.10
  5. Step 5: Solve for x
    x = 6,503,740,598.10/123,796.28
  6. Step 6: Final answer
    x = 52,535.83

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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.