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Finding the Fourth Proportional to 97,961.60, 135,185.76 and 53,249.60

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Solution

The fourth proportional to 97,961.60, 135,185.76 and 53,249.60 is: 73,483.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,961.60 : 135,185.76 = 53,249.60 : x
  2. Step 2: Convert to fraction form
    97,961.60/135,185.76 = 53,249.60/x
  3. Step 3: Cross multiply
    97,961.60x = 135,185.76 × 53,249.60
  4. Step 4: Simplify right side
    97,961.60x = 7,198,587,645.70
  5. Step 5: Solve for x
    x = 7,198,587,645.70/97,961.60
  6. Step 6: Final answer
    x = 73,483.77

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1.5x scale

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.