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Finding the Fourth Proportional to 76,286.57, 105,286.37 and 42,302.62

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Solution

The fourth proportional to 76,286.57, 105,286.37 and 42,302.62 is: 58,383.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,286.57 : 105,286.37 = 42,302.62 : x
  2. Step 2: Convert to fraction form
    76,286.57/105,286.37 = 42,302.62/x
  3. Step 3: Cross multiply
    76,286.57x = 105,286.37 × 42,302.62
  4. Step 4: Simplify right side
    76,286.57x = 4,453,888,563.34
  5. Step 5: Solve for x
    x = 4,453,888,563.34/76,286.57
  6. Step 6: Final answer
    x = 58,383.65

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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.