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Finding the Fourth Proportional to 54,851.94, 82,278.68 and 19,314.41

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Solution

The fourth proportional to 54,851.94, 82,278.68 and 19,314.41 is: 28,971.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,851.94 : 82,278.68 = 19,314.41 : x
  2. Step 2: Convert to fraction form
    54,851.94/82,278.68 = 19,314.41/x
  3. Step 3: Cross multiply
    54,851.94x = 82,278.68 × 19,314.41
  4. Step 4: Simplify right side
    54,851.94x = 1,589,163,651.81
  5. Step 5: Solve for x
    x = 1,589,163,651.81/54,851.94
  6. Step 6: Final answer
    x = 28,971.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.