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Finding the Fourth Proportional to 57,205.74, 85,821 and 23,471.84

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Solution

The fourth proportional to 57,205.74, 85,821 and 23,471.84 is: 35,212.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,205.74 : 85,821 = 23,471.84 : x
  2. Step 2: Convert to fraction form
    57,205.74/85,821 = 23,471.84/x
  3. Step 3: Cross multiply
    57,205.74x = 85,821 × 23,471.84
  4. Step 4: Simplify right side
    57,205.74x = 2,014,376,780.64
  5. Step 5: Solve for x
    x = 2,014,376,780.64/57,205.74
  6. Step 6: Final answer
    x = 35,212.84

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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.