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Finding the Fourth Proportional to 75,142.79, 112,736.14 and 33,580.07

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Solution

The fourth proportional to 75,142.79, 112,736.14 and 33,580.07 is: 50,379.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,142.79 : 112,736.14 = 33,580.07 : x
  2. Step 2: Convert to fraction form
    75,142.79/112,736.14 = 33,580.07/x
  3. Step 3: Cross multiply
    75,142.79x = 112,736.14 × 33,580.07
  4. Step 4: Simplify right side
    75,142.79x = 3,785,687,472.73
  5. Step 5: Solve for x
    x = 3,785,687,472.73/75,142.79
  6. Step 6: Final answer
    x = 50,379.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.