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Finding the Fourth Proportional to 98,245.38, 135,578.63 and 53,533.38

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Solution

The fourth proportional to 98,245.38, 135,578.63 and 53,533.38 is: 73,876.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,245.38 : 135,578.63 = 53,533.38 : x
  2. Step 2: Convert to fraction form
    98,245.38/135,578.63 = 53,533.38/x
  3. Step 3: Cross multiply
    98,245.38x = 135,578.63 × 53,533.38
  4. Step 4: Simplify right side
    98,245.38x = 7,257,982,052.00
  5. Step 5: Solve for x
    x = 7,257,982,052.00/98,245.38
  6. Step 6: Final answer
    x = 73,876.06

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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.