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Finding the Fourth Proportional to 32,372.51, 48,546 and 15,727.61

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Solution

The fourth proportional to 32,372.51, 48,546 and 15,727.61 is: 23,585.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,372.51 : 48,546 = 15,727.61 : x
  2. Step 2: Convert to fraction form
    32,372.51/48,546 = 15,727.61/x
  3. Step 3: Cross multiply
    32,372.51x = 48,546 × 15,727.61
  4. Step 4: Simplify right side
    32,372.51x = 763,512,676.43
  5. Step 5: Solve for x
    x = 763,512,676.43/32,372.51
  6. Step 6: Final answer
    x = 23,585.22

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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.