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Finding the Fourth Proportional to 32,638.34, 45,040.74 and 17,734.34

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Solution

The fourth proportional to 32,638.34, 45,040.74 and 17,734.34 is: 24,473.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,638.34 : 45,040.74 = 17,734.34 : x
  2. Step 2: Convert to fraction form
    32,638.34/45,040.74 = 17,734.34/x
  3. Step 3: Cross multiply
    32,638.34x = 45,040.74 × 17,734.34
  4. Step 4: Simplify right side
    32,638.34x = 798,767,797.01
  5. Step 5: Solve for x
    x = 798,767,797.01/32,638.34
  6. Step 6: Final answer
    x = 24,473.30

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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.