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Finding the Fourth Proportional to 32,014.22, 44,182.06 and 17,676.81

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Solution

The fourth proportional to 32,014.22, 44,182.06 and 17,676.81 is: 24,395.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,014.22 : 44,182.06 = 17,676.81 : x
  2. Step 2: Convert to fraction form
    32,014.22/44,182.06 = 17,676.81/x
  3. Step 3: Cross multiply
    32,014.22x = 44,182.06 × 17,676.81
  4. Step 4: Simplify right side
    32,014.22x = 780,997,880.03
  5. Step 5: Solve for x
    x = 780,997,880.03/32,014.22
  6. Step 6: Final answer
    x = 24,395.35

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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.