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Finding the Fourth Proportional to 57,432.96, 86,132.80 and 22,364.80

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Solution

The fourth proportional to 57,432.96, 86,132.80 and 22,364.80 is: 33,540.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,432.96 : 86,132.80 = 22,364.80 : x
  2. Step 2: Convert to fraction form
    57,432.96/86,132.80 = 22,364.80/x
  3. Step 3: Cross multiply
    57,432.96x = 86,132.80 × 22,364.80
  4. Step 4: Simplify right side
    57,432.96x = 1,926,342,845.44
  5. Step 5: Solve for x
    x = 1,926,342,845.44/57,432.96
  6. Step 6: Final answer
    x = 33,540.72

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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.