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Finding the Fourth Proportional to 65,954.53, 98,930.89 and 16,034.48

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Solution

The fourth proportional to 65,954.53, 98,930.89 and 16,034.48 is: 24,051.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,954.53 : 98,930.89 = 16,034.48 : x
  2. Step 2: Convert to fraction form
    65,954.53/98,930.89 = 16,034.48/x
  3. Step 3: Cross multiply
    65,954.53x = 98,930.89 × 16,034.48
  4. Step 4: Simplify right side
    65,954.53x = 1,586,305,377.09
  5. Step 5: Solve for x
    x = 1,586,305,377.09/65,954.53
  6. Step 6: Final answer
    x = 24,051.50

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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.