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Finding the Fourth Proportional to 65,289.80, 97,967.10 and 37,231.40

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Solution

The fourth proportional to 65,289.80, 97,967.10 and 37,231.40 is: 55,865.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,289.80 : 97,967.10 = 37,231.40 : x
  2. Step 2: Convert to fraction form
    65,289.80/97,967.10 = 37,231.40/x
  3. Step 3: Cross multiply
    65,289.80x = 97,967.10 × 37,231.40
  4. Step 4: Simplify right side
    65,289.80x = 3,647,452,286.94
  5. Step 5: Solve for x
    x = 3,647,452,286.94/65,289.80
  6. Step 6: Final answer
    x = 55,865.58

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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.