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Finding the Fourth Proportional to 32,193, 48,293.10 and 28,885.80

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Solution

The fourth proportional to 32,193, 48,293.10 and 28,885.80 is: 43,331.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,193 : 48,293.10 = 28,885.80 : x
  2. Step 2: Convert to fraction form
    32,193/48,293.10 = 28,885.80/x
  3. Step 3: Cross multiply
    32,193x = 48,293.10 × 28,885.80
  4. Step 4: Simplify right side
    32,193x = 1,394,984,827.98
  5. Step 5: Solve for x
    x = 1,394,984,827.98/32,193
  6. Step 6: Final answer
    x = 43,331.93

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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.