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Finding the Fourth Proportional to 32,142.82, 44,355.10 and 17,802.43

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Solution

The fourth proportional to 32,142.82, 44,355.10 and 17,802.43 is: 24,566.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,142.82 : 44,355.10 = 17,802.43 : x
  2. Step 2: Convert to fraction form
    32,142.82/44,355.10 = 17,802.43/x
  3. Step 3: Cross multiply
    32,142.82x = 44,355.10 × 17,802.43
  4. Step 4: Simplify right side
    32,142.82x = 789,628,341.12
  5. Step 5: Solve for x
    x = 789,628,341.12/32,142.82
  6. Step 6: Final answer
    x = 24,566.24

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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.