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Finding the Fourth Proportional to 32,109.89, 48,168.08 and 12,114.37

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Solution

The fourth proportional to 32,109.89, 48,168.08 and 12,114.37 is: 18,172.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,109.89 : 48,168.08 = 12,114.37 : x
  2. Step 2: Convert to fraction form
    32,109.89/48,168.08 = 12,114.37/x
  3. Step 3: Cross multiply
    32,109.89x = 48,168.08 × 12,114.37
  4. Step 4: Simplify right side
    32,109.89x = 583,525,943.31
  5. Step 5: Solve for x
    x = 583,525,943.31/32,109.89
  6. Step 6: Final answer
    x = 18,172.78

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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.