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Finding the Fourth Proportional to 55,604.96, 76,742.30 and 32,942.20

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Solution

The fourth proportional to 55,604.96, 76,742.30 and 32,942.20 is: 45,464.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,604.96 : 76,742.30 = 32,942.20 : x
  2. Step 2: Convert to fraction form
    55,604.96/76,742.30 = 32,942.20/x
  3. Step 3: Cross multiply
    55,604.96x = 76,742.30 × 32,942.20
  4. Step 4: Simplify right side
    55,604.96x = 2,528,060,195.06
  5. Step 5: Solve for x
    x = 2,528,060,195.06/55,604.96
  6. Step 6: Final answer
    x = 45,464.65

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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.