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Finding the Fourth Proportional to 32,043.29, 44,219.82 and 17,896.64

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Solution

The fourth proportional to 32,043.29, 44,219.82 and 17,896.64 is: 24,697.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,043.29 : 44,219.82 = 17,896.64 : x
  2. Step 2: Convert to fraction form
    32,043.29/44,219.82 = 17,896.64/x
  3. Step 3: Cross multiply
    32,043.29x = 44,219.82 × 17,896.64
  4. Step 4: Simplify right side
    32,043.29x = 791,386,199.40
  5. Step 5: Solve for x
    x = 791,386,199.40/32,043.29
  6. Step 6: Final answer
    x = 24,697.41

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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.