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Finding the Fourth Proportional to 34,661.73, 51,992.60 and 9,705.46

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Solution

The fourth proportional to 34,661.73, 51,992.60 and 9,705.46 is: 14,558.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,661.73 : 51,992.60 = 9,705.46 : x
  2. Step 2: Convert to fraction form
    34,661.73/51,992.60 = 9,705.46/x
  3. Step 3: Cross multiply
    34,661.73x = 51,992.60 × 9,705.46
  4. Step 4: Simplify right side
    34,661.73x = 504,611,839.63
  5. Step 5: Solve for x
    x = 504,611,839.63/34,661.73
  6. Step 6: Final answer
    x = 14,558.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.