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Finding the Fourth Proportional to 32,165.94, 44,410.66 and 20,084.82

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Solution

The fourth proportional to 32,165.94, 44,410.66 and 20,084.82 is: 27,730.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,165.94 : 44,410.66 = 20,084.82 : x
  2. Step 2: Convert to fraction form
    32,165.94/44,410.66 = 20,084.82/x
  3. Step 3: Cross multiply
    32,165.94x = 44,410.66 × 20,084.82
  4. Step 4: Simplify right side
    32,165.94x = 891,980,112.18
  5. Step 5: Solve for x
    x = 891,980,112.18/32,165.94
  6. Step 6: Final answer
    x = 27,730.58

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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.