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Finding the Fourth Proportional to 32,160, 44,380.80 and 18,012.81

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Solution

The fourth proportional to 32,160, 44,380.80 and 18,012.81 is: 24,857.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,160 : 44,380.80 = 18,012.81 : x
  2. Step 2: Convert to fraction form
    32,160/44,380.80 = 18,012.81/x
  3. Step 3: Cross multiply
    32,160x = 44,380.80 × 18,012.81
  4. Step 4: Simplify right side
    32,160x = 799,422,918.05
  5. Step 5: Solve for x
    x = 799,422,918.05/32,160
  6. Step 6: Final answer
    x = 24,857.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.