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Finding the Fourth Proportional to 76,038.20, 114,057.30 and 20,634.20

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Solution

The fourth proportional to 76,038.20, 114,057.30 and 20,634.20 is: 30,951.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,038.20 : 114,057.30 = 20,634.20 : x
  2. Step 2: Convert to fraction form
    76,038.20/114,057.30 = 20,634.20/x
  3. Step 3: Cross multiply
    76,038.20x = 114,057.30 × 20,634.20
  4. Step 4: Simplify right side
    76,038.20x = 2,353,481,139.66
  5. Step 5: Solve for x
    x = 2,353,481,139.66/76,038.20
  6. Step 6: Final answer
    x = 30,951.30

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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.