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Finding the Fourth Proportional to 97,634.68, 146,452.02 and 35,290.60

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Solution

The fourth proportional to 97,634.68, 146,452.02 and 35,290.60 is: 52,935.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,634.68 : 146,452.02 = 35,290.60 : x
  2. Step 2: Convert to fraction form
    97,634.68/146,452.02 = 35,290.60/x
  3. Step 3: Cross multiply
    97,634.68x = 146,452.02 × 35,290.60
  4. Step 4: Simplify right side
    97,634.68x = 5,168,378,924.75
  5. Step 5: Solve for x
    x = 5,168,378,924.75/97,634.68
  6. Step 6: Final answer
    x = 52,935.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.