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Finding the Fourth Proportional to 32,920.57, 49,408.50 and 30,844.63

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Solution

The fourth proportional to 32,920.57, 49,408.50 and 30,844.63 is: 46,292.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,920.57 : 49,408.50 = 30,844.63 : x
  2. Step 2: Convert to fraction form
    32,920.57/49,408.50 = 30,844.63/x
  3. Step 3: Cross multiply
    32,920.57x = 49,408.50 × 30,844.63
  4. Step 4: Simplify right side
    32,920.57x = 1,523,986,654.31
  5. Step 5: Solve for x
    x = 1,523,986,654.31/32,920.57
  6. Step 6: Final answer
    x = 46,292.85

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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.