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Finding the Fourth Proportional to 34,006.68, 51,013.82 and 9,047.69

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Solution

The fourth proportional to 34,006.68, 51,013.82 and 9,047.69 is: 13,572.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,006.68 : 51,013.82 = 9,047.69 : x
  2. Step 2: Convert to fraction form
    34,006.68/51,013.82 = 9,047.69/x
  3. Step 3: Cross multiply
    34,006.68x = 51,013.82 × 9,047.69
  4. Step 4: Simplify right side
    34,006.68x = 461,557,183.84
  5. Step 5: Solve for x
    x = 461,557,183.84/34,006.68
  6. Step 6: Final answer
    x = 13,572.54

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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.