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Finding the Fourth Proportional to 97,706.44, 146,461.20 and 38,519.20

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Solution

The fourth proportional to 97,706.44, 146,461.20 and 38,519.20 is: 57,739.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,706.44 : 146,461.20 = 38,519.20 : x
  2. Step 2: Convert to fraction form
    97,706.44/146,461.20 = 38,519.20/x
  3. Step 3: Cross multiply
    97,706.44x = 146,461.20 × 38,519.20
  4. Step 4: Simplify right side
    97,706.44x = 5,641,568,255.04
  5. Step 5: Solve for x
    x = 5,641,568,255.04/97,706.44
  6. Step 6: Final answer
    x = 57,739.98

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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.