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Finding the Fourth Proportional to 32,906.40, 49,345.20 and 13,178.40

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Solution

The fourth proportional to 32,906.40, 49,345.20 and 13,178.40 is: 19,761.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,906.40 : 49,345.20 = 13,178.40 : x
  2. Step 2: Convert to fraction form
    32,906.40/49,345.20 = 13,178.40/x
  3. Step 3: Cross multiply
    32,906.40x = 49,345.20 × 13,178.40
  4. Step 4: Simplify right side
    32,906.40x = 650,290,783.68
  5. Step 5: Solve for x
    x = 650,290,783.68/32,906.40
  6. Step 6: Final answer
    x = 19,761.83

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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.