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Finding the Fourth Proportional to 123,393.96, 185,091.51 and 38,003.80

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Solution

The fourth proportional to 123,393.96, 185,091.51 and 38,003.80 is: 57,005.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,393.96 : 185,091.51 = 38,003.80 : x
  2. Step 2: Convert to fraction form
    123,393.96/185,091.51 = 38,003.80/x
  3. Step 3: Cross multiply
    123,393.96x = 185,091.51 × 38,003.80
  4. Step 4: Simplify right side
    123,393.96x = 7,034,179,653.06
  5. Step 5: Solve for x
    x = 7,034,179,653.06/123,393.96
  6. Step 6: Final answer
    x = 57,005.87

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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.