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Finding the Fourth Proportional to 71,664.80, 107,460.33 and 32,188.04

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Solution

The fourth proportional to 71,664.80, 107,460.33 and 32,188.04 is: 48,265.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,664.80 : 107,460.33 = 32,188.04 : x
  2. Step 2: Convert to fraction form
    71,664.80/107,460.33 = 32,188.04/x
  3. Step 3: Cross multiply
    71,664.80x = 107,460.33 × 32,188.04
  4. Step 4: Simplify right side
    71,664.80x = 3,458,936,863.15
  5. Step 5: Solve for x
    x = 3,458,936,863.15/71,664.80
  6. Step 6: Final answer
    x = 48,265.50

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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.