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Finding the Fourth Proportional to 32,936, 49,368.61 and 14,224.84

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Solution

The fourth proportional to 32,936, 49,368.61 and 14,224.84 is: 21,321.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,936 : 49,368.61 = 14,224.84 : x
  2. Step 2: Convert to fraction form
    32,936/49,368.61 = 14,224.84/x
  3. Step 3: Cross multiply
    32,936x = 49,368.61 × 14,224.84
  4. Step 4: Simplify right side
    32,936x = 702,260,578.27
  5. Step 5: Solve for x
    x = 702,260,578.27/32,936
  6. Step 6: Final answer
    x = 21,321.98

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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.