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Finding the Fourth Proportional to 32,647.94, 48,943.20 and 12,940.34

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Solution

The fourth proportional to 32,647.94, 48,943.20 and 12,940.34 is: 19,399.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,647.94 : 48,943.20 = 12,940.34 : x
  2. Step 2: Convert to fraction form
    32,647.94/48,943.20 = 12,940.34/x
  3. Step 3: Cross multiply
    32,647.94x = 48,943.20 × 12,940.34
  4. Step 4: Simplify right side
    32,647.94x = 633,341,403.97
  5. Step 5: Solve for x
    x = 633,341,403.97/32,647.94
  6. Step 6: Final answer
    x = 19,399.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.