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Finding the Fourth Proportional to 29,945.50, 44,918.07 and 7,758.82

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Solution

The fourth proportional to 29,945.50, 44,918.07 and 7,758.82 is: 11,638.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,945.50 : 44,918.07 = 7,758.82 : x
  2. Step 2: Convert to fraction form
    29,945.50/44,918.07 = 7,758.82/x
  3. Step 3: Cross multiply
    29,945.50x = 44,918.07 × 7,758.82
  4. Step 4: Simplify right side
    29,945.50x = 348,511,219.88
  5. Step 5: Solve for x
    x = 348,511,219.88/29,945.50
  6. Step 6: Final answer
    x = 11,638.18

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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.