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Finding the Fourth Proportional to 36,097.75, 49,813.44 and 19,964

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Solution

The fourth proportional to 36,097.75, 49,813.44 and 19,964 is: 27,549.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,097.75 : 49,813.44 = 19,964 : x
  2. Step 2: Convert to fraction form
    36,097.75/49,813.44 = 19,964/x
  3. Step 3: Cross multiply
    36,097.75x = 49,813.44 × 19,964
  4. Step 4: Simplify right side
    36,097.75x = 994,475,516.16
  5. Step 5: Solve for x
    x = 994,475,516.16/36,097.75
  6. Step 6: Final answer
    x = 27,549.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.