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Finding the Fourth Proportional to 77,624.98, 116,340.06 and 33,199.50

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Solution

The fourth proportional to 77,624.98, 116,340.06 and 33,199.50 is: 49,757.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,624.98 : 116,340.06 = 33,199.50 : x
  2. Step 2: Convert to fraction form
    77,624.98/116,340.06 = 33,199.50/x
  3. Step 3: Cross multiply
    77,624.98x = 116,340.06 × 33,199.50
  4. Step 4: Simplify right side
    77,624.98x = 3,862,431,821.97
  5. Step 5: Solve for x
    x = 3,862,431,821.97/77,624.98
  6. Step 6: Final answer
    x = 49,757.59

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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.