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Finding the Fourth Proportional to 97,735.52, 146,600.40 and 27,613.64

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Solution

The fourth proportional to 97,735.52, 146,600.40 and 27,613.64 is: 41,419.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,735.52 : 146,600.40 = 27,613.64 : x
  2. Step 2: Convert to fraction form
    97,735.52/146,600.40 = 27,613.64/x
  3. Step 3: Cross multiply
    97,735.52x = 146,600.40 × 27,613.64
  4. Step 4: Simplify right side
    97,735.52x = 4,048,170,669.46
  5. Step 5: Solve for x
    x = 4,048,170,669.46/97,735.52
  6. Step 6: Final answer
    x = 41,419.65

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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.