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Finding the Fourth Proportional to 32,768.29, 49,144.33 and 14,046.20

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Solution

The fourth proportional to 32,768.29, 49,144.33 and 14,046.20 is: 21,065.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,768.29 : 49,144.33 = 14,046.20 : x
  2. Step 2: Convert to fraction form
    32,768.29/49,144.33 = 14,046.20/x
  3. Step 3: Cross multiply
    32,768.29x = 49,144.33 × 14,046.20
  4. Step 4: Simplify right side
    32,768.29x = 690,291,017.82
  5. Step 5: Solve for x
    x = 690,291,017.82/32,768.29
  6. Step 6: Final answer
    x = 21,065.83

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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.