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Finding the Fourth Proportional to 32,142.77, 44,356.04 and 17,802.03

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Solution

The fourth proportional to 32,142.77, 44,356.04 and 17,802.03 is: 24,566.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,142.77 : 44,356.04 = 17,802.03 : x
  2. Step 2: Convert to fraction form
    32,142.77/44,356.04 = 17,802.03/x
  3. Step 3: Cross multiply
    32,142.77x = 44,356.04 × 17,802.03
  4. Step 4: Simplify right side
    32,142.77x = 789,627,299.42
  5. Step 5: Solve for x
    x = 789,627,299.42/32,142.77
  6. Step 6: Final answer
    x = 24,566.25

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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.