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Finding the Fourth Proportional to 97,609.56, 146,414.40 and 38,412.91

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Solution

The fourth proportional to 97,609.56, 146,414.40 and 38,412.91 is: 57,619.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,609.56 : 146,414.40 = 38,412.91 : x
  2. Step 2: Convert to fraction form
    97,609.56/146,414.40 = 38,412.91/x
  3. Step 3: Cross multiply
    97,609.56x = 146,414.40 × 38,412.91
  4. Step 4: Simplify right side
    97,609.56x = 5,624,203,169.90
  5. Step 5: Solve for x
    x = 5,624,203,169.90/97,609.56
  6. Step 6: Final answer
    x = 57,619.39

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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.