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Finding the Fourth Proportional to 98,249.36, 135,584.10 and 53,537.36

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Solution

The fourth proportional to 98,249.36, 135,584.10 and 53,537.36 is: 73,881.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,249.36 : 135,584.10 = 53,537.36 : x
  2. Step 2: Convert to fraction form
    98,249.36/135,584.10 = 53,537.36/x
  3. Step 3: Cross multiply
    98,249.36x = 135,584.10 × 53,537.36
  4. Step 4: Simplify right side
    98,249.36x = 7,258,814,771.98
  5. Step 5: Solve for x
    x = 7,258,814,771.98/98,249.36
  6. Step 6: Final answer
    x = 73,881.55

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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.