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Finding the Fourth Proportional to 32,142.26, 44,356.66 and 17,802.54

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Solution

The fourth proportional to 32,142.26, 44,356.66 and 17,802.54 is: 24,567.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,142.26 : 44,356.66 = 17,802.54 : x
  2. Step 2: Convert to fraction form
    32,142.26/44,356.66 = 17,802.54/x
  3. Step 3: Cross multiply
    32,142.26x = 44,356.66 × 17,802.54
  4. Step 4: Simplify right side
    32,142.26x = 789,661,213.92
  5. Step 5: Solve for x
    x = 789,661,213.92/32,142.26
  6. Step 6: Final answer
    x = 24,567.69

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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.