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Finding the Fourth Proportional to 32,940.63, 49,411.05 and 7,980.63

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Solution

The fourth proportional to 32,940.63, 49,411.05 and 7,980.63 is: 11,970.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,940.63 : 49,411.05 = 7,980.63 : x
  2. Step 2: Convert to fraction form
    32,940.63/49,411.05 = 7,980.63/x
  3. Step 3: Cross multiply
    32,940.63x = 49,411.05 × 7,980.63
  4. Step 4: Simplify right side
    32,940.63x = 394,331,307.96
  5. Step 5: Solve for x
    x = 394,331,307.96/32,940.63
  6. Step 6: Final answer
    x = 11,970.97

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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.