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Finding the Fourth Proportional to 76,057.66, 114,105.15 and 26,138.46

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Solution

The fourth proportional to 76,057.66, 114,105.15 and 26,138.46 is: 39,214.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,057.66 : 114,105.15 = 26,138.46 : x
  2. Step 2: Convert to fraction form
    76,057.66/114,105.15 = 26,138.46/x
  3. Step 3: Cross multiply
    76,057.66x = 114,105.15 × 26,138.46
  4. Step 4: Simplify right side
    76,057.66x = 2,982,532,899.07
  5. Step 5: Solve for x
    x = 2,982,532,899.07/76,057.66
  6. Step 6: Final answer
    x = 39,214.10

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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.