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Finding the Fourth Proportional to 97,855.38, 135,023.22 and 61,536.60

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Solution

The fourth proportional to 97,855.38, 135,023.22 and 61,536.60 is: 84,909.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,855.38 : 135,023.22 = 61,536.60 : x
  2. Step 2: Convert to fraction form
    97,855.38/135,023.22 = 61,536.60/x
  3. Step 3: Cross multiply
    97,855.38x = 135,023.22 × 61,536.60
  4. Step 4: Simplify right side
    97,855.38x = 8,308,869,879.85
  5. Step 5: Solve for x
    x = 8,308,869,879.85/97,855.38
  6. Step 6: Final answer
    x = 84,909.69

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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.