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Finding the Fourth Proportional to 52,121.54, 78,229.30 and 32,438.54

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Solution

The fourth proportional to 52,121.54, 78,229.30 and 32,438.54 is: 48,687.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,121.54 : 78,229.30 = 32,438.54 : x
  2. Step 2: Convert to fraction form
    52,121.54/78,229.30 = 32,438.54/x
  3. Step 3: Cross multiply
    52,121.54x = 78,229.30 × 32,438.54
  4. Step 4: Simplify right side
    52,121.54x = 2,537,644,277.22
  5. Step 5: Solve for x
    x = 2,537,644,277.22/52,121.54
  6. Step 6: Final answer
    x = 48,687.05

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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.