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Finding the Fourth Proportional to 32,406.39, 48,606.21 and 10,219.14

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Solution

The fourth proportional to 32,406.39, 48,606.21 and 10,219.14 is: 15,327.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,406.39 : 48,606.21 = 10,219.14 : x
  2. Step 2: Convert to fraction form
    32,406.39/48,606.21 = 10,219.14/x
  3. Step 3: Cross multiply
    32,406.39x = 48,606.21 × 10,219.14
  4. Step 4: Simplify right side
    32,406.39x = 496,713,664.86
  5. Step 5: Solve for x
    x = 496,713,664.86/32,406.39
  6. Step 6: Final answer
    x = 15,327.65

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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.