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Finding the Fourth Proportional to 97,536.62, 134,611.50 and 55,097.90

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Solution

The fourth proportional to 97,536.62, 134,611.50 and 55,097.90 is: 76,041.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,536.62 : 134,611.50 = 55,097.90 : x
  2. Step 2: Convert to fraction form
    97,536.62/134,611.50 = 55,097.90/x
  3. Step 3: Cross multiply
    97,536.62x = 134,611.50 × 55,097.90
  4. Step 4: Simplify right side
    97,536.62x = 7,416,810,965.85
  5. Step 5: Solve for x
    x = 7,416,810,965.85/97,536.62
  6. Step 6: Final answer
    x = 76,041.30

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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.