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Finding the Fourth Proportional to 29,977.82, 44,966.76 and 7,789.34

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Solution

The fourth proportional to 29,977.82, 44,966.76 and 7,789.34 is: 11,684.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,977.82 : 44,966.76 = 7,789.34 : x
  2. Step 2: Convert to fraction form
    29,977.82/44,966.76 = 7,789.34/x
  3. Step 3: Cross multiply
    29,977.82x = 44,966.76 × 7,789.34
  4. Step 4: Simplify right side
    29,977.82x = 350,261,382.34
  5. Step 5: Solve for x
    x = 350,261,382.34/29,977.82
  6. Step 6: Final answer
    x = 11,684.02

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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.