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Finding the Fourth Proportional to 32,940.41, 49,398.59 and 14,212.40

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Solution

The fourth proportional to 32,940.41, 49,398.59 and 14,212.40 is: 21,313.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,940.41 : 49,398.59 = 14,212.40 : x
  2. Step 2: Convert to fraction form
    32,940.41/49,398.59 = 14,212.40/x
  3. Step 3: Cross multiply
    32,940.41x = 49,398.59 × 14,212.40
  4. Step 4: Simplify right side
    32,940.41x = 702,072,309.05
  5. Step 5: Solve for x
    x = 702,072,309.05/32,940.41
  6. Step 6: Final answer
    x = 21,313.41

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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.