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Finding the Fourth Proportional to 76,826.50, 115,259.19 and 21,422.50

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Solution

The fourth proportional to 76,826.50, 115,259.19 and 21,422.50 is: 32,139.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,826.50 : 115,259.19 = 21,422.50 : x
  2. Step 2: Convert to fraction form
    76,826.50/115,259.19 = 21,422.50/x
  3. Step 3: Cross multiply
    76,826.50x = 115,259.19 × 21,422.50
  4. Step 4: Simplify right side
    76,826.50x = 2,469,139,997.78
  5. Step 5: Solve for x
    x = 2,469,139,997.78/76,826.50
  6. Step 6: Final answer
    x = 32,139.17

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