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Finding the Fourth Proportional to 71,596.72, 107,430.36 and 32,182.48

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Solution

The fourth proportional to 71,596.72, 107,430.36 and 32,182.48 is: 48,289.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,596.72 : 107,430.36 = 32,182.48 : x
  2. Step 2: Convert to fraction form
    71,596.72/107,430.36 = 32,182.48/x
  3. Step 3: Cross multiply
    71,596.72x = 107,430.36 × 32,182.48
  4. Step 4: Simplify right side
    71,596.72x = 3,457,375,412.09
  5. Step 5: Solve for x
    x = 3,457,375,412.09/71,596.72
  6. Step 6: Final answer
    x = 48,289.58

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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.