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Finding the Fourth Proportional to 76,086.10, 114,141.90 and 26,164.18

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Solution

The fourth proportional to 76,086.10, 114,141.90 and 26,164.18 is: 39,250.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,086.10 : 114,141.90 = 26,164.18 : x
  2. Step 2: Convert to fraction form
    76,086.10/114,141.90 = 26,164.18/x
  3. Step 3: Cross multiply
    76,086.10x = 114,141.90 × 26,164.18
  4. Step 4: Simplify right side
    76,086.10x = 2,986,429,217.14
  5. Step 5: Solve for x
    x = 2,986,429,217.14/76,086.10
  6. Step 6: Final answer
    x = 39,250.65

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Why These Related Problems?

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