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Finding the Fourth Proportional to 76,868.38, 106,083.11 and 42,412.94

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Solution

The fourth proportional to 76,868.38, 106,083.11 and 42,412.94 is: 58,532.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,868.38 : 106,083.11 = 42,412.94 : x
  2. Step 2: Convert to fraction form
    76,868.38/106,083.11 = 42,412.94/x
  3. Step 3: Cross multiply
    76,868.38x = 106,083.11 × 42,412.94
  4. Step 4: Simplify right side
    76,868.38x = 4,499,296,579.44
  5. Step 5: Solve for x
    x = 4,499,296,579.44/76,868.38
  6. Step 6: Final answer
    x = 58,532.48

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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.