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Finding the Fourth Proportional to 97,609.20, 146,305.80 and 38,425.20

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Solution

The fourth proportional to 97,609.20, 146,305.80 and 38,425.20 is: 57,595.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,609.20 : 146,305.80 = 38,425.20 : x
  2. Step 2: Convert to fraction form
    97,609.20/146,305.80 = 38,425.20/x
  3. Step 3: Cross multiply
    97,609.20x = 146,305.80 × 38,425.20
  4. Step 4: Simplify right side
    97,609.20x = 5,621,829,626.16
  5. Step 5: Solve for x
    x = 5,621,829,626.16/97,609.20
  6. Step 6: Final answer
    x = 57,595.28

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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.