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Finding the Fourth Proportional to 76,120.68, 105,049.38 and 42,586.92

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Solution

The fourth proportional to 76,120.68, 105,049.38 and 42,586.92 is: 58,771.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,120.68 : 105,049.38 = 42,586.92 : x
  2. Step 2: Convert to fraction form
    76,120.68/105,049.38 = 42,586.92/x
  3. Step 3: Cross multiply
    76,120.68x = 105,049.38 × 42,586.92
  4. Step 4: Simplify right side
    76,120.68x = 4,473,729,542.11
  5. Step 5: Solve for x
    x = 4,473,729,542.11/76,120.68
  6. Step 6: Final answer
    x = 58,771.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.