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Finding the Fourth Proportional to 32,564.12, 48,846.30 and 7,940.12

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Solution

The fourth proportional to 32,564.12, 48,846.30 and 7,940.12 is: 11,910.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,564.12 : 48,846.30 = 7,940.12 : x
  2. Step 2: Convert to fraction form
    32,564.12/48,846.30 = 7,940.12/x
  3. Step 3: Cross multiply
    32,564.12x = 48,846.30 × 7,940.12
  4. Step 4: Simplify right side
    32,564.12x = 387,845,483.56
  5. Step 5: Solve for x
    x = 387,845,483.56/32,564.12
  6. Step 6: Final answer
    x = 11,910.21

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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.