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Finding the Fourth Proportional to 32,769.68, 49,156.36 and 9,395.50

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Solution

The fourth proportional to 32,769.68, 49,156.36 and 9,395.50 is: 14,093.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,769.68 : 49,156.36 = 9,395.50 : x
  2. Step 2: Convert to fraction form
    32,769.68/49,156.36 = 9,395.50/x
  3. Step 3: Cross multiply
    32,769.68x = 49,156.36 × 9,395.50
  4. Step 4: Simplify right side
    32,769.68x = 461,848,580.38
  5. Step 5: Solve for x
    x = 461,848,580.38/32,769.68
  6. Step 6: Final answer
    x = 14,093.78

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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.