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Finding the Fourth Proportional to 32,151.75, 48,227.63 and 13,421.57

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Solution

The fourth proportional to 32,151.75, 48,227.63 and 13,421.57 is: 20,132.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,151.75 : 48,227.63 = 13,421.57 : x
  2. Step 2: Convert to fraction form
    32,151.75/48,227.63 = 13,421.57/x
  3. Step 3: Cross multiply
    32,151.75x = 48,227.63 × 13,421.57
  4. Step 4: Simplify right side
    32,151.75x = 647,290,511.98
  5. Step 5: Solve for x
    x = 647,290,511.98/32,151.75
  6. Step 6: Final answer
    x = 20,132.36

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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.