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Finding the Fourth Proportional to 34,285.82, 51,417.72 and 10,906.79

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Solution

The fourth proportional to 34,285.82, 51,417.72 and 10,906.79 is: 16,356.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,285.82 : 51,417.72 = 10,906.79 : x
  2. Step 2: Convert to fraction form
    34,285.82/51,417.72 = 10,906.79/x
  3. Step 3: Cross multiply
    34,285.82x = 51,417.72 × 10,906.79
  4. Step 4: Simplify right side
    34,285.82x = 560,802,017.23
  5. Step 5: Solve for x
    x = 560,802,017.23/34,285.82
  6. Step 6: Final answer
    x = 16,356.68

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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.