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Finding the Fourth Proportional to 32,192, 48,291.60 and 28,884.80

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Solution

The fourth proportional to 32,192, 48,291.60 and 28,884.80 is: 43,330.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,192 : 48,291.60 = 28,884.80 : x
  2. Step 2: Convert to fraction form
    32,192/48,291.60 = 28,884.80/x
  3. Step 3: Cross multiply
    32,192x = 48,291.60 × 28,884.80
  4. Step 4: Simplify right side
    32,192x = 1,394,893,207.68
  5. Step 5: Solve for x
    x = 1,394,893,207.68/32,192
  6. Step 6: Final answer
    x = 43,330.43

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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.