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Finding the Fourth Proportional to 123,394.96, 185,093.01 and 38,004.80

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Solution

The fourth proportional to 123,394.96, 185,093.01 and 38,004.80 is: 57,007.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,394.96 : 185,093.01 = 38,004.80 : x
  2. Step 2: Convert to fraction form
    123,394.96/185,093.01 = 38,004.80/x
  3. Step 3: Cross multiply
    123,394.96x = 185,093.01 × 38,004.80
  4. Step 4: Simplify right side
    123,394.96x = 7,034,422,826.45
  5. Step 5: Solve for x
    x = 7,034,422,826.45/123,394.96
  6. Step 6: Final answer
    x = 57,007.38

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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.