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Finding the Fourth Proportional to 32,150.94, 48,226.41 and 13,420.76

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Solution

The fourth proportional to 32,150.94, 48,226.41 and 13,420.76 is: 20,131.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,150.94 : 48,226.41 = 13,420.76 : x
  2. Step 2: Convert to fraction form
    32,150.94/48,226.41 = 13,420.76/x
  3. Step 3: Cross multiply
    32,150.94x = 48,226.41 × 13,420.76
  4. Step 4: Simplify right side
    32,150.94x = 647,234,833.14
  5. Step 5: Solve for x
    x = 647,234,833.14/32,150.94
  6. Step 6: Final answer
    x = 20,131.13

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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.