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Finding the Fourth Proportional to 32,912.71, 45,401.07 and 20,172.06

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Solution

The fourth proportional to 32,912.71, 45,401.07 and 20,172.06 is: 27,826.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,912.71 : 45,401.07 = 20,172.06 : x
  2. Step 2: Convert to fraction form
    32,912.71/45,401.07 = 20,172.06/x
  3. Step 3: Cross multiply
    32,912.71x = 45,401.07 × 20,172.06
  4. Step 4: Simplify right side
    32,912.71x = 915,833,108.10
  5. Step 5: Solve for x
    x = 915,833,108.10/32,912.71
  6. Step 6: Final answer
    x = 27,826.12

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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.