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Finding the Fourth Proportional to 32,207.72, 44,448.92 and 17,872.13

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Solution

The fourth proportional to 32,207.72, 44,448.92 and 17,872.13 is: 24,664.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,207.72 : 44,448.92 = 17,872.13 : x
  2. Step 2: Convert to fraction form
    32,207.72/44,448.92 = 17,872.13/x
  3. Step 3: Cross multiply
    32,207.72x = 44,448.92 × 17,872.13
  4. Step 4: Simplify right side
    32,207.72x = 794,397,032.40
  5. Step 5: Solve for x
    x = 794,397,032.40/32,207.72
  6. Step 6: Final answer
    x = 24,664.81

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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.