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Finding the Fourth Proportional to 32,523.76, 48,832.35 and 20,068.30

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Solution

The fourth proportional to 32,523.76, 48,832.35 and 20,068.30 is: 30,131.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,523.76 : 48,832.35 = 20,068.30 : x
  2. Step 2: Convert to fraction form
    32,523.76/48,832.35 = 20,068.30/x
  3. Step 3: Cross multiply
    32,523.76x = 48,832.35 × 20,068.30
  4. Step 4: Simplify right side
    32,523.76x = 979,982,249.51
  5. Step 5: Solve for x
    x = 979,982,249.51/32,523.76
  6. Step 6: Final answer
    x = 30,131.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.