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Finding the Fourth Proportional to 76,286.38, 105,286.10 and 42,302.42

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Solution

The fourth proportional to 76,286.38, 105,286.10 and 42,302.42 is: 58,383.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,286.38 : 105,286.10 = 42,302.42 : x
  2. Step 2: Convert to fraction form
    76,286.38/105,286.10 = 42,302.42/x
  3. Step 3: Cross multiply
    76,286.38x = 105,286.10 × 42,302.42
  4. Step 4: Simplify right side
    76,286.38x = 4,453,856,822.36
  5. Step 5: Solve for x
    x = 4,453,856,822.36/76,286.38
  6. Step 6: Final answer
    x = 58,383.38

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Why These Related Problems?

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