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Finding the Fourth Proportional to 32,078.26, 48,127.11 and 14,543.38

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Solution

The fourth proportional to 32,078.26, 48,127.11 and 14,543.38 is: 21,819.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,078.26 : 48,127.11 = 14,543.38 : x
  2. Step 2: Convert to fraction form
    32,078.26/48,127.11 = 14,543.38/x
  3. Step 3: Cross multiply
    32,078.26x = 48,127.11 × 14,543.38
  4. Step 4: Simplify right side
    32,078.26x = 699,930,849.03
  5. Step 5: Solve for x
    x = 699,930,849.03/32,078.26
  6. Step 6: Final answer
    x = 21,819.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.