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Finding the Fourth Proportional to 32,812, 45,280.16 and 18,664.81

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Solution

The fourth proportional to 32,812, 45,280.16 and 18,664.81 is: 25,757.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,812 : 45,280.16 = 18,664.81 : x
  2. Step 2: Convert to fraction form
    32,812/45,280.16 = 18,664.81/x
  3. Step 3: Cross multiply
    32,812x = 45,280.16 × 18,664.81
  4. Step 4: Simplify right side
    32,812x = 845,145,583.17
  5. Step 5: Solve for x
    x = 845,145,583.17/32,812
  6. Step 6: Final answer
    x = 25,757.21

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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.