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Finding the Fourth Proportional to 32,768.34, 49,151.79 and 9,394.98

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Solution

The fourth proportional to 32,768.34, 49,151.79 and 9,394.98 is: 14,092.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,768.34 : 49,151.79 = 9,394.98 : x
  2. Step 2: Convert to fraction form
    32,768.34/49,151.79 = 9,394.98/x
  3. Step 3: Cross multiply
    32,768.34x = 49,151.79 × 9,394.98
  4. Step 4: Simplify right side
    32,768.34x = 461,780,084.01
  5. Step 5: Solve for x
    x = 461,780,084.01/32,768.34
  6. Step 6: Final answer
    x = 14,092.26

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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.