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Finding the Fourth Proportional to 32,142.74, 44,357.09 and 17,802.97

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Solution

The fourth proportional to 32,142.74, 44,357.09 and 17,802.97 is: 24,568.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,142.74 : 44,357.09 = 17,802.97 : x
  2. Step 2: Convert to fraction form
    32,142.74/44,357.09 = 17,802.97/x
  3. Step 3: Cross multiply
    32,142.74x = 44,357.09 × 17,802.97
  4. Step 4: Simplify right side
    32,142.74x = 789,687,742.65
  5. Step 5: Solve for x
    x = 789,687,742.65/32,142.74
  6. Step 6: Final answer
    x = 24,568.16

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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.