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Finding the Fourth Proportional to 27,278.14, 40,907.13 and 21,446.14

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Solution

The fourth proportional to 27,278.14, 40,907.13 and 21,446.14 is: 32,161.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,278.14 : 40,907.13 = 21,446.14 : x
  2. Step 2: Convert to fraction form
    27,278.14/40,907.13 = 21,446.14/x
  3. Step 3: Cross multiply
    27,278.14x = 40,907.13 × 21,446.14
  4. Step 4: Simplify right side
    27,278.14x = 877,300,036.98
  5. Step 5: Solve for x
    x = 877,300,036.98/27,278.14
  6. Step 6: Final answer
    x = 32,161.29

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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.