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Finding the Fourth Proportional to 36,225, 49,990.64 and 21,128.09

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Solution

The fourth proportional to 36,225, 49,990.64 and 21,128.09 is: 29,156.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,225 : 49,990.64 = 21,128.09 : x
  2. Step 2: Convert to fraction form
    36,225/49,990.64 = 21,128.09/x
  3. Step 3: Cross multiply
    36,225x = 49,990.64 × 21,128.09
  4. Step 4: Simplify right side
    36,225x = 1,056,206,385.48
  5. Step 5: Solve for x
    x = 1,056,206,385.48/36,225
  6. Step 6: Final answer
    x = 29,156.84

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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.