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Finding the Fourth Proportional to 39,285, 54,213.21 and 21,379.95

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Solution

The fourth proportional to 39,285, 54,213.21 and 21,379.95 is: 29,504.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,285 : 54,213.21 = 21,379.95 : x
  2. Step 2: Convert to fraction form
    39,285/54,213.21 = 21,379.95/x
  3. Step 3: Cross multiply
    39,285x = 54,213.21 × 21,379.95
  4. Step 4: Simplify right side
    39,285x = 1,159,075,719.14
  5. Step 5: Solve for x
    x = 1,159,075,719.14/39,285
  6. Step 6: Final answer
    x = 29,504.28

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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.