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Finding the Fourth Proportional to 32,996.16, 49,520.16 and 18,215.28

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Solution

The fourth proportional to 32,996.16, 49,520.16 and 18,215.28 is: 27,337.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,996.16 : 49,520.16 = 18,215.28 : x
  2. Step 2: Convert to fraction form
    32,996.16/49,520.16 = 18,215.28/x
  3. Step 3: Cross multiply
    32,996.16x = 49,520.16 × 18,215.28
  4. Step 4: Simplify right side
    32,996.16x = 902,023,580.04
  5. Step 5: Solve for x
    x = 902,023,580.04/32,996.16
  6. Step 6: Final answer
    x = 27,337.23

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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.