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Finding the Fourth Proportional to 98,052.75, 135,314.96 and 53,340.75

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Solution

The fourth proportional to 98,052.75, 135,314.96 and 53,340.75 is: 73,611.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,052.75 : 135,314.96 = 53,340.75 : x
  2. Step 2: Convert to fraction form
    98,052.75/135,314.96 = 53,340.75/x
  3. Step 3: Cross multiply
    98,052.75x = 135,314.96 × 53,340.75
  4. Step 4: Simplify right side
    98,052.75x = 7,217,801,185.92
  5. Step 5: Solve for x
    x = 7,217,801,185.92/98,052.75
  6. Step 6: Final answer
    x = 73,611.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.