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Finding the Fourth Proportional to 34,309.25, 51,443.54 and 10,609.78

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Solution

The fourth proportional to 34,309.25, 51,443.54 and 10,609.78 is: 15,908.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,309.25 : 51,443.54 = 10,609.78 : x
  2. Step 2: Convert to fraction form
    34,309.25/51,443.54 = 10,609.78/x
  3. Step 3: Cross multiply
    34,309.25x = 51,443.54 × 10,609.78
  4. Step 4: Simplify right side
    34,309.25x = 545,804,451.72
  5. Step 5: Solve for x
    x = 545,804,451.72/34,309.25
  6. Step 6: Final answer
    x = 15,908.38

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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.